a) \(\dfrac{x}{5}+\dfrac{1}{2}=\dfrac{6}{10}\\ \dfrac{x}{5}+\dfrac{1}{2}=\dfrac{3}{5}\\ \dfrac{x}{5}=\dfrac{3}{5}-\dfrac{1}{2}\\ \dfrac{x}{5}=\dfrac{6}{10}-\dfrac{5}{10}\\ \dfrac{x}{5}=\dfrac{1}{10}\\ \dfrac{2x}{10}=\dfrac{1}{10}\\ \Rightarrow2x=1\\ x=1:2\\ x=0,5=\dfrac{1}{2}\)

b) \(x+\dfrac{3}{15}=\dfrac{1}{3}\\ x=\dfrac{1}{3}-\dfrac{3}{15}\\ x=\dfrac{5}{15}-\dfrac{3}{15}\\ x=\dfrac{2}{15}\)

c) \(x-\dfrac{12}{4}=\dfrac{1}{2}\\ x-3=\dfrac{1}{2}\\ x=\dfrac{1}{2}+3\\ x=\dfrac{1}{2}+\dfrac{6}{2}\\ x=\dfrac{7}{2}\)

d) \(\dfrac{1}{2}x+\dfrac{1}{2}=\dfrac{5}{2}\\ \dfrac{1}{2}x=\dfrac{5}{2}-\dfrac{1}{2}\\ \dfrac{1}{2}x=2\\ x=2:\dfrac{1}{2}\\ x=4\)

a. \(\dfrac{2x+5}{10}=\dfrac{6}{10}\Leftrightarrow2x=1\Leftrightarrow x=\dfrac{1}{2}\)

b. \(\dfrac{15x+3}{15}=\dfrac{5}{15}\Leftrightarrow15x=2\Leftrightarrow x=\dfrac{2}{15}\)

c. \(\dfrac{4x-12}{4}=\dfrac{2}{4}\Leftrightarrow4x=14\Leftrightarrow x=\dfrac{7}{2}\)

d. \(\dfrac{1+x}{2x}=\dfrac{5x}{2x}\Leftrightarrow-4x=-1\Leftrightarrow x=\dfrac{1}{4}\)

e. \(\dfrac{-4\left(2x-5\right)}{6\left(2x-5\right)}-\dfrac{2}{6\left(2x-5\right)}=\dfrac{9\left(2x-5\right)}{6\left(2x-5\right)}\)

\(\Leftrightarrow-8x+20-2=18x-45\)

\(\Leftrightarrow-26x=-63\Leftrightarrow x=\dfrac{63}{26}\)

3.|x+1|-2=4

3.|x+1|=4+2

3.|x+1|=6                                    

|x+1|=6:3

|x+1|=2

Trường hợp 1       x+1=2

x=2-1

x=1

trường hợp 2

x+1=-2

x=(-2)-1

x=-3

==> x thuộc {1; -3}

k mk nha chúc học tốt                                                                             

k minh minh giai cho

Các câu a; b; c xem lạ đề bài

Câu d:

-12.(x - 5)+ 7.(x - 3) = 5

-12x + 60 + 7x - 21 = 5

-(12x - 7x) + (60 - 21) = 5

-5x + 39 = 5

5x = 39 - 5

5x = 34

x = 34/5

Vậy x = 34/5

Các bạn ơi cố gắng giúp mk đi mk sắp thi rồi

nhưng bạn ơi mk không biết đánh dấu giá tri ''dấu ích'' chỉ giúp mk rồi mk làm cho

\(5x+2x=6^2-5^0\Leftrightarrow5x+2x=6^2-1\)

\(\Leftrightarrow5x-2x=36-1\Leftrightarrow5x-2x=35\Leftrightarrow x\left(5+2\right)=35\)

\(\Leftrightarrow7x=35\Leftrightarrow x=35:7\Leftrightarrow x=5\)

\(5x+x=150:2+3\Leftrightarrow5x+x=75+3\)

\(\Leftrightarrow5x+x=78\Leftrightarrow x\left(5+1\right)=78\Leftrightarrow x6=78\)

\(\Leftrightarrow x=78:6\Leftrightarrow x=13\)

a) 5x + 2x = 6² - 5⁰

7x = 35 => x = 5

b) 5x + x = 150 : 2 + 3

6x = 78 => x = 13

c) 6x + x = 5¹¹ : 5⁹ + 3¹

7x = 28 => x = 4

d) 5x + 3x = 3⁶ : 3³ x 4 + 12

8x = 120 => x = 15

e) 4x + 2x = 68 - 2¹⁹ : 2¹⁶

6x = 60 => x = 10

f) 5x + x = 39 - 3¹¹ : 3⁹

6x = 30 => x = 5

g) 7x - x = 5²¹ : 5¹⁹ + 3 x 2² - 7⁰ 

6x = 36 => x = 6

h) 7x - 2x = 6¹⁷ : 6¹⁵ + 44 : 11

5x = 40 => x = 8

?? bài ez z tự làm đc mak

\(a,x-4=-7\Leftrightarrow x=-3\)

\(b,-2x+5=-7\Leftrightarrow-2x=-12\Leftrightarrow x=6\)

\(c,\left(4-x\right)-17=15\Leftrightarrow4-x=32\Leftrightarrow x=-28\)

\(d,8-2\left(2x-3\right)=14\Leftrightarrow8-4x+6=14\Leftrightarrow-4x=14-8-6\)

\(\Leftrightarrow-4x=0\Leftrightarrow x=0\)

\(f,|x-5|=11\Leftrightarrow\orbr{\begin{cases}x-5=11\\x-5=-11\end{cases}\Rightarrow\orbr{\begin{cases}x=16\\x=-6\end{cases}}}\)

\(g,1\le|x|\le5\)

\(\Rightarrow x=1;5;\pm2;\pm3;\pm4\)