Question

Solve: $x+7-\frac{8x}{3}=\frac{17}{6}-\frac{5x}{2}$

Answer 1

Simplifying $x+7-\frac{8x}{3}=\frac{17}{6}-\frac{5x}{2}$.

$\frac{3x+21-8x}{3}=\frac{17-15x}{6}$

$6\left(3x+21-8x\right)=3\left(17-15x\right)$

$18x+126-48x=51-45x$

$-30x+126-51+45x=0$

$15x+75=0$

$15x=-75$

$x=-5$