1: 7-x=8+(-7)

=>7-x=8-7=1

=>x=7-1=6

2: \(x-8=\left(-3\right)-8\)

=>x-8=-11

=>\(x=-11+8=-3\)

3: \(2-x=10-9+23\)

=>\(2-x=33-9=24\)

=>x=2-24=-22

4: \(-2-x=15\)

=>\(x=-2-15=-17\)

5: \(-7+x-8=-3-1+13\)

=>x-14=13-4=9

=>x=9+14=23

6: 100-x+7=-x+3

=>107-x=3-x

=>107=3(vô lý)

7: \(23+x=8-2x\)

=>\(x+2x=8-23\)

=>3x=-15

=>x=-15/3=-5

( x - 1 )( x + 2 ) - x - 2 = 0

<=> ( x - 1 )( x + 2 ) - ( x + 2 ) = 0

<=> ( x + 2 )( x - 2 ) = 0

<=> x = ±2

( 2x - 7 )³ = 8( 7 - 2x )²

<=> ( 2x - 7 )³ - 8( 2x - 7 )² = 0

<=> ( 2x - 7 )²( 2x - 15 ) = 0

<=> x = 7/2 hoặc x = 15/2

a. \(\dfrac{8}{7}-\dfrac{1}{7}:\left(\dfrac{x}{3}-2\right)=-1\)

\(-\dfrac{1}{7}:\left(\dfrac{x}{3}-2\right)=\dfrac{15}{7}\)

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

\(\dfrac{x}{3}=\dfrac{29}{15}\)

\(x=5,8\)

b. \(\dfrac{5}{8}+\dfrac{1}{4}\left(2x-1\right)=\dfrac{5}{4}\)

\(\dfrac{1}{4}\left(2x-1\right)=\dfrac{5}{8}\)

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

\(2x=\dfrac{7}{2}\)

\(x=\dfrac{7}{4}\)

a) \(\left(x+1\right)^2=3\left(x+1\right)\)

\(\Leftrightarrow\left(x+1\right)^2-3\left(x+1\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(x-2\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x-2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)

b) \(\left(2x-7\right)^3=8\left(7-2x\right)^2\)

\(\Leftrightarrow\left(2x-7\right)^3-8\left(2x-7\right)^2=0\)

\(\Leftrightarrow\left(2x-7\right)^2\left(2x-15\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}\left(2x-7\right)^2=0\\2x-15=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}2x=7\\2x=15\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{7}{2}\\x=\frac{15}{2}\end{cases}}\)

a, \(\left(x+1\right)^2=3\left(x+1\right)\Leftrightarrow x^2+2x+1=3x+3\)

\(\Leftrightarrow x^2-x-2=0\Leftrightarrow\left(x-2\right)\left(x+1\right)=0\Leftrightarrow\orbr{\begin{cases}x=-2\\x=1\end{cases}}\)

b, \(\left(2x-7\right)^3=8\left(7-2x\right)^2\)

\(\Leftrightarrow8x^3-116x^2+518x-735=0\Leftrightarrow\orbr{\begin{cases}x=3,5\\x=7,5\end{cases}}\)

a) (x + 1)² = 3(x + 1)

<=> x² + 2x + 1 = 3x + 3

<=> x² - x - 2 = 0

<=> x²  - 2.1/2 .x  + 1/4  - 9/4 = 0

<=> (x - 1/2)² = 9/4

<=> x - 1/2 = \(\sqrt{\frac{9}{4}}\)

<=> x = 3/2 + 1/2 = 2

vậy pt có nghiệm x = 2

5.(x+7)=3.(2-x)

=>5x+35=6-3x

=>5x+3x=6+41

=>8x=47

=>x=47:8=47/8

\(12\left(x-3\right)=5\left(x-1\right)+4\)

\(\Rightarrow12x-36=5x-5+4\)

\(\Rightarrow12x-5x=-5+4+36\)

\(\Rightarrow7x=35\)

\(\Rightarrow x=5\)

\(-6\left(x-7\right)+2\left(x+10\right)=x-18\)

\(-6x+42+2x+20=x-18\)

\(-6x+2x-x=-18-20-42\)

\(-5x=-80\)

\(x=16\)

\(7\left(2x-1\right)-12\left(x-5\right)=3\)

\(\Rightarrow14x-7-12x+60=3\)

\(\Rightarrow14x-12x=3-60+7\)

\(\Rightarrow2x=-50\)

\(\Rightarrow x=-25\)

\(\left|2x-1\right|=17\)

\(\Leftrightarrow\orbr{\begin{cases}2x-1=17\\2x-1=-17\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=9\\x=-8\end{cases}}\)

\(\left|8-3x\right|=14\)

\(\Leftrightarrow\orbr{\begin{cases}8-3x=14\\8-3x=-14\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=-2\\x=\frac{22}{3}\end{cases}}\)

- Gửi lẻ câu hỏi ra nha bạn 2 3 câu 1 lần thôi .

a) (x-3)²-4=0

⇒ (x-3)²=4

⇒ hoặc x-3=2⇒x=5

hoặc x-3=-2⇒x=1

c) (x+4)²-(x+1)(x-1)=16

⇒ x²+8x+16-x²+1=16

⇒ 8x+17=16

⇒ 8x=-1

⇒ x=-1/8