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

1 Answer
Jul 19, 2017

Get the absolute value by itself first.

Explanation:

#|6b - 2| + 10 = 44#
Subtract 10 from both sides.
#|6b - 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
#6b - 2 = 34# and #6b - 2 = -34#.
Solve these, and you will be done.