# How do you solve 7x - 2 > 54?

Aug 5, 2015

$x > 8$

#### Explanation:

If $7 x - 2 > 54$
then
$\textcolor{w h i t e}{\text{XXXX}}$(adding 2 to each side)
$7 x > 56$
and
$\textcolor{w h i t e}{\text{XXXX}}$(dividing both sides by 7)
$x > 8$

Remember:

1. You can add or subtract any constant to/from both sides of an inequality without effecting the validity of the inequality.
2. You can multiply or divide both sides of an inequality by any value greater than 0 without effecting the validity of the inequality.