Question

Solve the following equation and check your result:
$x=\frac{4}{5}(x+10)$

Answer 1

$x=\frac{4}{5}(x+10)$
Multiply both sides by $5$,
$5x=4(x+10)$
$5x=4x+40$
Transpose $4x$ to LHS
$5x-4x=40$
$x=40$
LHS $\Rightarrow x=40$
RHS $\Rightarrow \frac{4}{5}(x+10)=\frac{4}{5}(40+10)=\frac{4}{5}\times 50=40$
LHS $=$ RHS
Hence proved