# How do you simplify (2x+5)/2=(3x-2)/6?

Nov 12, 2016

$x = - \setminus \frac{34}{6} \setminus \approx - 5.67$

#### Explanation:

Cross multiply:
$6 \left(2 x + 5\right) = 2 \left(3 x - 2\right)$
$12 x + 30 = 6 x - 4$

Arrange so that like terms are on the same side:
$12 x - 6 x = - 30 - 4$
$6 x = - 34$
$x = \setminus \frac{- 34}{6} = \setminus \approx - 5.67$