Đáp án:
↓↓↓
Giải thích các bước giải:
`a,5x+4=3x-10`
⇒`5x-3x=-10-4`
⇒`x=-7`
`b,12-(x-6)=5(2x-3)`
⇒`12-x+6=10x-15`
⇒`-x-10x=-15-18`
⇒`x=3`
`c,(x-2)(2x-1)=x^2-4x+4`
⇒`2x^2-x-4x+2=x^2-4x+4`
⇒`2x^2-x+2-x^2-4=0`
⇒`(x+1)(x-2)=0`
⇒\(\left[ \begin{array}{l}x=-1\\x=2\end{array} \right.\)
`d,(7x-1)/3+x=(5+4x)/2`
⇒`2(7x-1)+6x=3(5+4x)`
⇒`14x-2+6x=15+12x`
⇒`20x-12x=15+2`
⇒`x=17/8`
`e,(x+2)/(x-2)-(x-2)/(x+2)=-4/(4-x^2)`
⇒`x`$\neq$ `±2`
⇒`(x+2)/(x-2)-(x-2)/(x+2)+4/(4-x^2)=0`
⇒`(x+2)/(x-2)-(x-2)/(x+2)-4/((x-2)(2+x))=0`
⇒`((x+2)^2-(x-2)^2-4)/((x-2)(x+2)=0`
⇒`(8x-4)/((x-2)(x+2))=0`
⇒`8x-4=0`
⇒`x=1/2`
