Question

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

Answer 1

$x+7-\frac{8x}{3}=\frac{17}{6}-\frac{5x}{2}$
L.C.M. of the denominators, $2, 3$, and $6$, is $6$.
Multiplying both sides by $6$, we obtain
$6x + 42 - 16x = 17 - 15x$
$\Rightarrow$ $6x - 16x + 15x = 17 - 42$
$\Rightarrow$ $5x = - 25$
$\Rightarrow$ $x$ = $\frac{-25}{5}$
$\Rightarrow$ $x$ = $-5$