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1, Ta có :
a . 81 = 34 => 3x= 34 => x = 4 .
b. 125 = 53 => 5x+2 = 53 =>x + 2 = 3 => x = 1
c. 23 * 2x - 1 = 64
=> 23 + ( x - 1 ) = 64 = 26
=> 3 + ( x - 1 ) = 6
=> x - 1 = 6 - 3 = 3
x = 3 + 1
x = 4
mik ko chép lại đề, mik làm luôn:
a) x - \(\frac{31}{36}=\frac{-13}{38}\)
x = \(\frac{-13}{18}+\frac{31}{36}\)
\(x=\frac{5}{36}\)
b)\(2-x-\frac{3}{7}=\frac{9}{-21}\)
\(\frac{11}{7}-x=\frac{3}{7}\)
x = \(\frac{11}{7}-\frac{3}{7}\)
x = 8/7
c) x + 3/11 = 23/44
x = 23/44 - 3/11
x = 1/4
d) \(\frac{1}{12}-x=\frac{-11}{9}\)
x = \(\frac{1}{12}+\frac{11}{9}\)
x = 47/36
e) \(x-\frac{2}{3}=\frac{-17}{3}\)
x= -17/3 + 2/3
x = -5
f) \(x-\frac{1}{2}=\frac{11}{4}.\frac{3}{11}\)
x - 1/2 = 3/4
x = 3/4 + 1/2
x = 5/4
g) \(2x+\frac{3}{8}=\frac{-21}{32}.\frac{4}{7}\)
2x + 3/8 = -3 / 8
2x = -3/8 - 3/8
2x = -9/8
x = -9/8.1/2
x = -9/16
h) x - \(\frac{x}{3}=\frac{3}{57}.\frac{19}{12}\)
x - \(\frac{x}{3}=\frac{1}{12}\)
x = \(\frac{1}{12}+\frac{x}{3}\)
x = \(\frac{1+4x}{12}\)
=> 12x = 1+4x
12x - 4x = 1
8x = 1
x = 1/8
\(a,x-4=-7\Leftrightarrow x=-3\)
\(b,-2x+5=-7\Leftrightarrow-2x=-12\Leftrightarrow x=6\)
\(c,\left(4-x\right)-17=15\Leftrightarrow4-x=32\Leftrightarrow x=-28\)
\(d,8-2\left(2x-3\right)=14\Leftrightarrow8-4x+6=14\Leftrightarrow-4x=14-8-6\)
\(\Leftrightarrow-4x=0\Leftrightarrow x=0\)
\(f,|x-5|=11\Leftrightarrow\orbr{\begin{cases}x-5=11\\x-5=-11\end{cases}\Rightarrow\orbr{\begin{cases}x=16\\x=-6\end{cases}}}\)
\(g,1\le|x|\le5\)
\(\Rightarrow x=1;5;\pm2;\pm3;\pm4\)
Bài 1 :
a, Ta có : \(\left(-123\right)+\left|-13\right|+\left(-7\right)\)
= \(\left(-123\right)+13+\left(-7\right)=\left(-117\right)\)
b, Ta có : \(\left|-10\right|+\left|45\right|+\left(-\left|-455\right|\right)+\left|-750\right|\)
= \(10+45-455+750=350\)
c, Ta có : \(-\left|-33\right|+\left(-15\right)+20-\left|45-40\right|-57\)
= \(\left(-33\right)+\left(-15\right)+20-5-57=-90\)
a) \(2\left(x-5\right)-3\left(x+7\right)=14\)
\(\Leftrightarrow2x-10-3x-21=14\)
\(\Leftrightarrow-x-31=14\)
\(\Leftrightarrow-x=45\Leftrightarrow x=-45\)
b) \(5\left(x-6\right)-2\left(x+3\right)=12\)
\(\Leftrightarrow5x-30-2x-6=12\)
\(\Leftrightarrow3x-36=12\)
\(\Leftrightarrow3x=48\Leftrightarrow x=16\)
c) \(3\left(x-4\right)-\left(8-x\right)=12\)
\(\Leftrightarrow3x-12-8+x=12\)
\(\Leftrightarrow4x-20=12\)
\(\Leftrightarrow4x=32\Leftrightarrow x=8\)
d) \(-7\left(3x-5\right)+2\left(7x-14\right)=28\)
\(\Leftrightarrow-21x+35+14x-28=28\)
\(\Leftrightarrow-7x+35=0\Leftrightarrow x=5\)
g) \(\left(x+\frac{1}{2}\right)\left(\frac{2}{3}-2x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+\frac{1}{2}=0\\\frac{2}{3}-2x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{2}\\x=\frac{1}{3}\end{cases}}\)
Vây \(x\in\left\{\frac{-1}{2};\frac{1}{3}\right\}\)
\(a)x+30\%x=-1,31\)
\(\Leftrightarrow x+\frac{3x}{10}=-1,31\)
\(\Leftrightarrow10x+3x=-13,1\)
\(\Leftrightarrow13x=-13,1\Leftrightarrow x=-\frac{131}{130}\)
\(b)\left(x-\frac{1}{2}\right):\frac{1}{3}+\frac{5}{7}=9\frac{5}{7}\)
\(\Leftrightarrow\frac{2x-1}{2}.3+\frac{5}{7}=\frac{68}{7}\)
\(\Leftrightarrow\frac{6x-3}{2}=\frac{63}{7}\)
\(\Leftrightarrow\frac{6x-3}{2}=9\)
\(\Leftrightarrow6x-3=18\)
\(\Leftrightarrow x=\frac{7}{2}\)
a) x + 15 = 36 - 2x
x + 15 = 36 - (x + x )
15 =36 - ( x + x) - x
15 = 36 - x - x - x
15 = 36 - 3x
3x = 36 - 15
3x = 21
x = 21 : 3
=> x = 7
b) (x - 7) - (2x +5) = -14
x - 7 -( 2x + 5) = -14
x - (2x + 5) = -14 + 7 = -7
x - 2x - 5 = -7
x - 2x = -7 + 5 = -2
x - x + x = 2
x = 2 (-x + x cũng bằng chính nó)
=> x = 2
c) (x - 12) - 15 = (-7 + 20) - (18+x)
(x - 12) - 15 = 13 - (18 + x)
(x - 12) - 15 = 13 - 18 - x
(x - 12) - 15 = -5 - x
15 = (x - 12 ) - (-5 - x)
15 = x - 12 + 5 + x
15 = x + (-12) + 5 + x
15 = 2x + [(-12) + 5]
15 = 2x + -7
2x = -7 + 15
2x = 8
x = 8 : 2
=> x = 4
..................
a) 2x - 15 = 17
2x = 25
b) ( 7x - 11 )3 = 25. 52 + 200
(7x - 11)3 = 32 . 25 + 200
(7x -11)3 = 1000
(7x-11)3 = 103
7x - 11 = 10
7x = 10+11
7x = 21
x = 21 : 7
x = 3
like nha
a) (x + 1/2) . (2/3 − 2x) = 0
\(\Rightarrow\left[\begin{array}{nghiempt}x+\frac{1}{2}=0\\\frac{2}{3}-2x=0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=-\frac{1}{2}\\2x=\frac{2}{3}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=-\frac{1}{2}\\x=\frac{1}{3}\end{array}\right.\)
b) \(\left(x.6\frac{2}{7}+\frac{3}{7}\right).2\frac{1}{5}-\frac{3}{7}=-2\)
\(\Rightarrow\left(x.\frac{44}{7}+\frac{3}{7}\right).\frac{11}{5}=-2+\frac{3}{7}\)
\(\Rightarrow\left(x.\frac{44}{7}+\frac{3}{7}\right).\frac{11}{5}=-\frac{11}{7}\)
\(\Rightarrow x.\frac{44}{7}+\frac{3}{7}=-\frac{11}{7}:\frac{11}{5}=-\frac{11}{7}.\frac{5}{11}\)
\(\Rightarrow x.\frac{44}{7}+\frac{3}{7}=-\frac{5}{7}\)
\(\Rightarrow x.\frac{44}{7}=-\frac{5}{7}-\frac{3}{7}\)
\(\Rightarrow x.\frac{44}{7}=-\frac{8}{7}\)
\(\Rightarrow x=-\frac{8}{7}:\frac{44}{7}=-\frac{8}{7}.\frac{7}{44}\)
\(\Rightarrow x=-\frac{2}{11}\)
c) \(x.3\frac{1}{4}+\left(-\frac{7}{6}\right).x-1\frac{2}{3}=\frac{5}{12}\)
\(\Rightarrow x\left(3\frac{1}{4}-\frac{7}{6}\right)=\frac{5}{12}+\frac{5}{3}\)
\(\Rightarrow x\left(\frac{13}{4}-\frac{7}{6}\right)=\frac{25}{12}\)
\(\Rightarrow x.\frac{25}{12}=\frac{25}{12}\)
\(\Rightarrow x=\frac{25}{12}:\frac{25}{12}\)
\(\Rightarrow x=1\)
d) \(5\frac{8}{17}:x+\left(-\frac{4}{17}\right):x+3\frac{1}{7}:17\frac{1}{3}=\frac{4}{11}\)
\(\Rightarrow\left(5\frac{8}{17}-\frac{4}{17}\right):x+\frac{22}{7}:\frac{52}{3}=\frac{4}{11}\)
\(\Rightarrow5\frac{4}{17}:x+\frac{33}{182}=\frac{4}{11}\)
\(\Rightarrow\frac{89}{17}:x=\frac{4}{11}-\frac{33}{182}\)
\(\Rightarrow\frac{89}{17}:x=\frac{365}{2002}\)
\(\Rightarrow x=\frac{89}{17}:\frac{365}{2002}\)
\(\Rightarrow x\approx28,7\) (số hơi lẻ)
e) \(\frac{17}{2}-\left|2x-\frac{3}{4}\right|=-\frac{7}{4}\)
\(\Rightarrow\left|2x-\frac{3}{4}\right|=\frac{17}{2}+\frac{7}{4}\)
\(\Rightarrow\left|2x-\frac{3}{4}\right|=\frac{41}{4}\)
\(\Rightarrow\left[\begin{array}{nghiempt}2x-\frac{3}{4}=\frac{41}{4}\\2x-\frac{3}{4}=-\frac{41}{4}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}2x=11\\2x=-\frac{19}{2}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=\frac{11}{2}\\x=-\frac{19}{4}\end{array}\right.\)

Câu E: 35 - 3.(\(x-1\)) = 32
3.(\(x-1\)) = 35 - 32
3.(\(x-1\)) = 3
\(x-1\) = 3 : 3
\(x-1\) = 1
\(x=1+1\)
\(x=2\)
Vậy \(x\) = 2
Câu F:
18- (7 - 2\(x\)) = 17
18- 7 + 2\(x\) = 17
11 +2\(x\) = 17
2\(x\) = 17 - 11
\(2x\) = 6
\(x=6:2\)
\(x=3\)
ssssssssssss
E. 35 – 3·(x – 1) = 32
35 – 3(x – 1) = 32
→ 3(x – 1) = 35 – 32
→ 3(x – 1) = 3
→ x – 1 = 1
→ x = 2
F. 18 – (7 – 2x) = 17
18 – 7 + 2x = 17
11 + 2x = 17
→ 2x = 17 – 11
→ 2x = 6
→ x = 3
G. (x – 5) – 14 = 6
x – 5 – 14 = 6
x – 19 = 6
→ x = 6 + 19
→ x = 25
H. 2·(x – 3) – 7 = 3
2(x – 3) – 7 = 3
→ 2x – 6 – 7 = 3
→ 2x – 13 = 3
→ 2x = 3 + 13
→ 2x = 16
→ x = 8
L. 15 : x – 2 = 1
15/x – 2 = 1
→ 15/x = 1 + 2
→ 15/x = 3
→ x = 15 / 3
→ x = 5
G, \(\left(x-5_{}\right)-14=6\)
\(x-5-14=6\)
\(x-5=14+6\)
\(x-5=20\)
\(x=5+20\)
\(x=25\)
Vậy \(x=25\)
H, \(2.\left(x-3\right)-7=3\)
\(2x-2.3=3+7\)
\(2x-6=10\)
\(2x=10+6\)
\(2x=16\)
\(x=16:2\)
\(x=8\)
Vậy \(x=8\)
e)
\(35-3.\left(X-1\right)=32\)
\(X=35-3X+3=32\)
\(X=38-3X=32\)
\(X=-3X=-6\)
\(X=2\)
f)
\(18-\left(7-2x\right)=17\)
\(x=18-7+2x=17\)
\(x=11=2x=17\)
\(x=2x=6\)
\(x=3\)
L, \(15:x-2=1\)
\(15:x=2+1\)
\(15:x=3\)
\(x=15:3\)
\(x=5\)
Vậy \(x\) =5
g)
\(\left(x-5\right)-14=6\)
\(x=x-19=6\)
\(x=25\)
h)
\(2.\left(X-3\right)-7=3\)
\(x=2x-6-7=3\)
\(x=2x-13=3\)
\(x=2x=16\)
\(x=8\)
l)
\(15:x-2=1\)
\(x=\frac{15}{x}-2=1\)
\(x=\frac{15}{x}=3\)
\(x=15=3x\)
\(x=5\)
E.
Giải:
\(35 - 3 \left(\right. x - 1 \left.\right) = 32\)
\(35 - 3 x + 3 = 32\)
\(38 - 3 x = 32\)
\(- 3 x = - 6\)
\(\Rightarrow x = 2\)
Đáp số: x = 2
F.
Giải:
\(18 - \left(\right. 7 - 2 x \left.\right) = 17\)
\(18 - 7 + 2 x = 17\)
\(11 + 2 x = 17\)
\(2 x = 6\)
\(\Rightarrow x = 3\)
Đáp số: x = 3
G.
Giải:
\(\left(\right. x - 5 \left.\right) - 14 = 6\)
\(x - 19 = 6\)
\(\Rightarrow x = 25\)
Đáp số: x = 25
H.
Giải:
\(2 \left(\right. x - 3 \left.\right) - 7 = 3\)
\(2 x - 6 - 7 = 3\)
\(2 x - 13 = 3\)
\(2 x = 16\)
\(\Rightarrow x = 8\)
Đáp số: x = 8
L.
Giải:
\(15 : x - 2 = 1\)
\(\frac{15}{x} = 3\)
\(15 = 3 x\)
\(\Rightarrow x = 5\)
Đáp số: x = 5
ủa sao ko tự làm đi . đỡ phải mệt đầu