# How do you solve (x+2)/( 5x-2) = 4/8 ?

Jun 5, 2015

The answer is $x = 2$.

Problem: Solve $\frac{x + 2}{5 x - 2} = \frac{4}{8}$.

Simplify $\frac{4}{8}$ to $\frac{1}{2}$.

$\frac{x + 2}{5 x - 2} = \frac{1}{2}$

Cross multiply.

$2 \left(x + 2\right) = 1 \left(5 x - 2\right)$ =

$2 x + 4 = 5 x - 2$

Subtract $2 x$ from both sides.

$4 = 3 x - 2$

Add $2$ to both sides.

$6 = 3 x$

Divide both sides by $3$.

$2 = x$

Flip the equation.

$x = 2$