# How do you solve 2(x + 5) > 8x – 8?

May 21, 2015

Basically the same way you solve an equation: isolate the variable on one side and the constants on the other:

$2 x + 10 > 8 x - 8$

$2 x - 8 x > \left(- 8 - 10\right)$

$- 6 x > \left(- 18\right)$

Now, we need to divide by $- 6$. This will change the signs on both sides, so we must reverse the direction of the inequality:

$\frac{- 6 x}{-} 6 < \frac{- 18}{- 6}$

$x < 3$