# How do you solve 8x-(x-5)>x+17?

May 2, 2016

$x > 2$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} 8 x - \left(x - 5\right) > x + 17$

Remember that valid operations that maintain the validity and direction of an inequality include:
a) addition or subtraction of the same amount to both sides;
b) multiplication or division of both sides by the same amount provided that amount is greater than zero.

$\Rightarrow$
$\textcolor{w h i t e}{\text{XXX}} 7 x + 5 > x + 17$

$\textcolor{w h i t e}{\text{XXX}} 6 x > 12$

$\textcolor{w h i t e}{\text{XXX}} x > 2$