Question

Solve for $x$: $\frac{7}{2}x-\frac{5}{2}x=\frac{20}{3}x+10$

Answer 1

Given: $\frac{7}{2}x-\frac{5}{2}x=\frac{20}{3}x+10$

$\Rightarrow \frac{(7-5)x}{2}=\frac{20}{3}x+10$

$\Rightarrow x=\frac{20}{3}x+10$

$\Rightarrow \frac{3-20}{3}x=10$

$\Rightarrow \frac{-17}{3}x=10$

$\Rightarrow x=\frac{-30}{17}$