Đáp án + Giải thích các bước giải:

 $a) 5x-8=7x+24$

$⇒5x-7x=24+8$

$⇒-2x=32$

$⇒x=-16$

Vậy $x=-16$

$b) 9-2x-8=5.(3-2x)$
$⇒1-2x=15-10x$

$⇒-2x+10x=15-1$

$⇒8x=14$

$⇒x=\frac{7}{4}$

Vậy $x=\frac{7}{4}$

$c) x+\frac{1}{2}+2=\frac{x}{3}$

$⇒x-\frac{x}{3}=-2-\frac{1}{2}$

$⇒\frac{3x}{3}-\frac{x}{3}=-\frac{4}{2}-\frac{1}{2}$
$⇒\frac{2x}{3}=-\frac{5}{2}$

$⇒\frac{4x}{6}=\frac{-15}{6}$

$⇒4x=-15$

$⇒x=\frac{-15}{4}$

Vậy $x=\frac{-15}{4}$

$d) 5x-\frac{1}{6}+3-\frac{4x}{2}=2-x+\frac{7}{3}$

$⇒5x-\frac{4x}{2}+x=2+\frac{7}{3}+\frac{1}{6}-3$

$⇒\frac{12x}{2}-\frac{4x}{2}=\frac{-6}{6}+\frac{14}{6}+\frac{1}{6}$

$⇒4x=\frac{3}{2}$

$⇒x=\frac{3}{2}:4=\frac{3}{2}.\frac{1}{4}$

$⇒x=\frac{3}{8}$

Vậy $x=\frac{3}{8}$

Chúc bạn học tốt nhé!

@Zonzon123