# How do you solve absx/7=5?

Aug 15, 2016

$x = - 35$ and $x = 35$

#### Explanation:

From the definition of absolute value we know that
when $x \ge 0$, $| x | = x$ and when $x < 0$, $| x | = - x$ therefore we have two equations to solve.....

$\frac{x}{7} = 5$ and $\frac{- x}{7} = 5$

Just solve each for $x$

$x = 7 \left(5\right)$

$x = 35$

$- x = 7 \left(5\right)$

$- x = 35$

Divide both sides by $- 1$

$x = - 35$