# How do you solve (3x)/(4x) = (3x + 7)/(5x-8)?

$\frac{3 x}{4 x} = \frac{3 x + 7}{5 x - 8}$
$\frac{3}{4} = \frac{3 x + 7}{5 x - 8}$
$\left(3\right) \cdot \left(5 x - 8\right) = \left(3 x + 7\right) \cdot \left(4\right)$
$15 x - 24 = 12 x + 28$
$15 x - 12 x = 28 + 24$
$3 x = 52$
$x = \frac{52}{3}$