# How do you solve abs(6b-2)+10=44?

Jul 19, 2017

Get the absolute value by itself first.

#### Explanation:

$| 6 b - 2 | + 10 = 44$
Subtract 10 from both sides.
$| 6 b - 2 | = 34$
Since 34 is positive, there are two solutions to the absolute value equation. These are the two solutions to the ordinary linear equations
$6 b - 2 = 34$ and $6 b - 2 = - 34$.
Solve these, and you will be done.