How do you solve 4 (2x + 10) = 9 (4x - 8)?

Jun 8, 2016

$x = 4$

Explanation:

4(2x+10)=9(4x−8)

$4 \cdot \left(2 x\right) + 4 \cdot \left(10\right) = 9 \cdot \left(4 x\right) + \left(9\right) \cdot \left(- 8\right)$

$8 x + 40 = 36 x - 72$

$72 + 40 = 36 x - 8 x$

$112 = 28 x$

$x = \frac{112}{28}$

$x = 4$