Question

Solve:

$2x-3=\frac{3}{10}(5x-12)$.

Answer 1

Given:

$2x-3=\frac{3}{10}(5x-12)$

$\Rightarrow 10(2x-3)=3(5x-12)$

$\Rightarrow 20x-30=15x-36$

$\Rightarrow 20x-15x=-36+30$

$\Rightarrow 5x=-6$

$\Rightarrow x=\frac{-6}{5}$

Hence, the solution of $2x-3=\frac{3}{10}(5x-12)$ is $x=\frac{-6}{5}$.