Question

If $\frac{8x+2}{3x-5}=5$, find the value of $x$.

Answer 1

Given, $\frac{8x+2}{3x-5}=5$

$\Rightarrow \left(8x+2\right)=5\left(3x-5\right)$ …[Cross-multiplying the denominators]

$\Rightarrow 8x+2=15x-25$ ...[By Distribution Law]

$\Rightarrow 8x-15x=-25-2$ ...[Transposing $x$ terms to one side]

$\Rightarrow -7x=-27$ ...[On simplifying]

$\Rightarrow 7x=27$ ...[Multiplying $-1$ on both sides]

$\Rightarrow x=\frac{27}{7}$ ...[Dividing $7$ on both sides]

$\therefore x=\frac{27}{7}$.