# How do you solve abs(7x + 2)= 10?

Apr 2, 2015

x = 8/7 ; x = -12/7

Absolute value is the distance of a given number from $0$. This means in the problem, $7 x + 2 = 10$ or $7 x + 2 = - 10$

Solving both of the equations:
$7 x + 2 = 10$
$7 x = 8$
$x = \frac{8}{7}$

$7 x + 2 = - 10$
$7 x = - 12$
$x = - \frac{12}{7}$