# How do you solve 3x - 2(2x+3) - 4 = 5(x-3) - 8?

Jun 19, 2016

$x = \frac{13}{6}$

#### Explanation:

3x−color(blue)(2)(2x+3)−4=color(green)(5)(x−3)−8

3x−color(blue)(2) * (2x) + color(blue)((-2)) * (3) − 4= color(green)(5) * (x) + color(green)(5) * (−3)−8

3x− 4x - 6 − 4= 5x -15 − 8

 - x - 6 − 4= 5x -23

$- x - 10 = 5 x - 23$

$- 10 + 23 = 5 x + x$

$13 = 6 x$

$x = \frac{13}{6}$