Question

Solve: $x=\frac{4}{5}\left(x+10\right)$.

Answer 1

Given, $x=\frac{4}{5}(x+10)$

$\Rightarrow$ $5x=5\times \frac{4}{5}(x+10)$ ...[ Multiplying both sides by $5$ ]

$\Rightarrow$ $5x=4(x+10)$ ...[On simplifying]

$\Rightarrow$ $5x=4x+40$ ...[By Distribution Law]

$\Rightarrow$ $5x-4x=40$ ...[Transposing $x$ terms to one side]

$\Rightarrow$ $x=40$.