a) <=> 15-5x-20=-12-3

<=> -5x=-12-3-15+20=-10

=>x=-10:(-5)=2

b)<=>7-x-25-7=-25

<=> -x=-25-7+25+7=0 =>x=0

c) /x+2/=0 => x+2=0 =>x=-2

d) sai đề

e)<=> /x-5/ = 7

<=> \(\orbr{\begin{cases}x-5=7\\x-5=-7\end{cases}}\)

<=> \(\orbr{\begin{cases}x=12\\x=-2\end{cases}}\)

g) <=> -x-20-8+2x=-15

<=> x=-15+20+8=13

d là | x + 3 | = 7 - ( - 2 )

a,   =231

b,   x=10

      x=3 hoặc -3

Câu a:

A = 25.2^3 - (15 - 18) + (12 - 19 + 10)

A = 25.8 + 3 + (- 7 + 10)

A = 200 + 3+ 3

A = 203 + 3

A = 206

\(\left(\frac{3}{5}-x\right)+\frac{13}{20}=\frac{5}{6}\)

\(\frac{3}{5}-x=\frac{5}{6}-\frac{13}{20}\)

\(\frac{3}{5}-x=\frac{11}{60}\)

\(x=\frac{3}{5}-\frac{11}{60}\)

\(x=\frac{5}{12}\)

\(\left(x-\frac{1}{2}\right)\cdot\frac{5}{3}=\frac{7}{4}-\frac{1}{2}\)

\(\left(x-\frac{1}{2}\right)\cdot\frac{5}{3}=\frac{5}{4}\)

\(x-\frac{1}{2}=\frac{5}{4}:\frac{5}{3}\)

\(x-\frac{1}{2}=\frac{3}{4}\)

\(x=\frac{3}{4}+\frac{1}{2}\)

\(x=\frac{5}{4}\)

( 3/5 - x ) + 13/20 = 5/6

  3/5 - x                = 5/6 - 13/20

  3/5 - x                = 89/60

          x                = 3/5 - 89/60

          x                = 25/12

( x - 1/2 ) x 5/3 = 7/4 - 1/2

( x - 1/2 ) x 5/3 = 5/4

 x - 1/2             = 5/4 : 5/3

 x - 1/2             = 35/12

 x                     = 35/12 + 1/2

 x                     = 41/12

Trả lời:

A = ( 2x - 7 )⁴

Ta có: \(\left(2x-7\right)^4\ge0\forall x\)

Dấu "=" xảy ra khi 2x - 7 = 0 <=> 2x = 7 <=> x = 7/2

Vậy GTNN của A = 0 khi x = 7/2

B = ( x + 1 )¹⁰  + ( y - 2 )²⁰ + 7 

Ta có:  \(\left(x+1\right)^{10}\ge0\forall x;\left(y-2\right)^{20}\ge0\forall y\)

\(\Leftrightarrow\left(x+1\right)^{10}+\left(y-2\right)^{20}\ge0\forall x;y\)

\(\Leftrightarrow\left(x+1\right)^{10}+\left(y-2\right)^{20}+7\ge7\forall x;y\)

Dấu "=" xảy ra khi x + 1 = 0 <=> x = -1  và y - 2 = 0 <=> y = 2

Vậy GTNN của B = 7 khi x = -1 và y = 2

C = ( 3x - 4 )¹⁰⁰ + ( 5y + 1 )⁵⁰ - 20

Ta có: \(\left(3x-4\right)^{100}\ge0\forall x;\left(5y+1\right)^{50}\ge0\forall y\)

\(\Leftrightarrow\left(3x-4\right)^{100}+\left(5y+1\right)^{50}\ge0\forall x;y\)

\(\Leftrightarrow\left(3x-4\right)^{100}+\left(5y+1\right)^{50}-20\ge-20\forall x;y\)

Dấu "=" xảy ra khi 3x - 4 = 0 <=> x = 4/3 và 5y + 1 = 0 <=> y = -1/5

Vậy GTNN của C = -20 khi x = 4/3 và y = -1/5

D = ( 2x + 3 )²⁰ + ( 3y - 4 )¹⁰ + 100⁰

Ta có: \(\left(2x+3\right)^{20}\ge0\forall x;\left(3y-4\right)^{10}\ge0\forall y\)

\(\Leftrightarrow\left(2x+3\right)^{20}+\left(3y-4\right)^{10}\ge0\forall x;y\)

\(\Leftrightarrow\left(2x+3\right)^{20}+\left(3y-4\right)^{10}+100^0\ge1\forall x;y\)

Dấu "=" xảy ra khi 2x + 3 = 0 <=> x = -3/2 và 3y - 4 = 0 <=> y = 4/3

Vậy GTNN của D = 1 khi x = -3/2 và y = 4/3

E = ( x - y )⁵⁰ + ( y - 2 )⁶⁰ + 3

Ta có: \(\left(x-y\right)^{50}\ge0\forall x;y\); \(\left(y-2\right)^{60}\ge0\forall y\)

\(\Leftrightarrow\left(x-y\right)^{50}+\left(y-2\right)^{60}\ge0\forall x;y\)

\(\Leftrightarrow\left(x-y\right)^{50}+\left(y-2\right)^{60}+3\ge3\forall x;y\)

Dấu "=" xảy ra khi x - y = 0 <=> x = y và y - 2 = 0 <=> y = 2

Vậy GTNN của E = 3 khi x = y = 2

a ) 2 - x = 5 - 6

2 - x = - 1

     x = 2 - ( - 1 )

     x = 3

Vậy x = 3

b ) 7 - x = 17 - ( - 5 )

7 - x = 22

     x = 7 - 22

      x = - 15

Vậy x = - 15

Ta có : 

a) 2 - x = 5 - 6

=> 2 - x = - 1 

=> x = 3

b ) 7 - x = 17 - ( - 5 )

=> 7 - x = 22

=> x = - 15

c ) | x + 3 | = 7

=> x + 3 = 7 hoặc x + 3 = - 7

=> x = 4 hoặc x = - 10

a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)

\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)

\(\Rightarrow x=\dfrac{5}{6}-\dfrac{5}{4}\)

\(\Rightarrow x=\dfrac{-5}{12}\)

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

\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)

\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)

\(\Rightarrow x=\dfrac{2}{5}\)

c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)

\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-77}{120}\)

d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)

\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)

\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)

\(\Rightarrow x=\dfrac{-7}{20}\)

e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)

\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-59}{105}\)

g) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)

\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{-13}{12}\)

a) 12 : x = 3

     X = 12 : 3

     X = 4

b) 21 : x = 7

     X = 21 : 7

     X = 3

c) 30 : x = 3

     X = 30 : 3

     X = 10

d) X : 7 = 4

     X = 4 x 7

     X = 28

e) 20 : x = 5

     X = 20 : 5

     X = 4

f) X x 6 = 42

     X = 42 : 6

     X = 7