Đáp án+Giải thích các bước giải:
1. `3x-2=2x-3`
`⇔ x = -1`
Vậy `S={-1}`
2. `2x+3=5x+9`
`⇔ -3x = 6`
`⇔ x = -2`
Vậy `S={-2}`
3. `5-2x=7`
`⇔ 2x = -2`
`⇔ x = -1`
Vậy `S={-1}`
4. `10x+3-5x=4x+12`
`⇔ 5x + 3=4x+12`
`⇔ x =9`
Vậy `S={9}`
5. `11x+42-2x=100-9x-22`
`⇔ 9x +42 = 78-9x`
`⇔ 18x = 36`
`⇔ x =2`
Vậy `S={2}`
6. `2x-(3-5x)=4(x+3)`
`⇔ 2x-3+5x=4x+12`
`⇔ 7x -3= 4x+12`
`⇔ 3x = 15`
`⇔ x =5`
Vậy `S={5}`
7. `x(x+2)=x(x+3)`
`⇔ x(x+2)-x(x+3)=0`
`⇔ x(x+2-x-3)=0`
`⇔ -x = 0`
`⇔ x =0`
Vậy `S={0}`
8. `2(x-3)+5x(x-1)=5x^2`
`⇔ 2x-6+5x^2-5x=5x^2`
`⇔ 2x-6-5x=0`
`⇔ -3x=6`
`⇔ x =-2`
Vậy `S={-2}`
9. `(2x+1)(x-1)=0`
`⇔` \(\left[ \begin{array}{l}2x+1=0\\x-1=0\end{array} \right.\)
`⇔`\(\left[ \begin{array}{l}x=\dfrac{-1}{2}\\x=1\end{array} \right.\)
Vậy `S={(-1)/2; 1}`
10. `x^2-x=0`
`⇔x(x-1)=0`
`⇔`\(\left[ \begin{array}{l}x=0\\x-1=0\end{array} \right.\)
`⇔`\(\left[ \begin{array}{l}x=0\\x=1\end{array} \right.\)
Vậy `S={0; 1}`
11. `(x+2/3)(x-1/2)=0`
`⇔`\(\left[ \begin{array}{l}x+\dfrac{2}{3}=0\\x-\dfrac{1}{2}=0\end{array} \right.\)
`⇔`\(\left[ \begin{array}{l}x=\dfrac{-2}{3}\\x=\dfrac{1}{2}\end{array} \right.\)
Vậy `S={(-2)/3; 1/2}`
