Solve the following equation: |2x + 6 - 5x| = 9

First, simplify the expression in absolute value:
|2x + 6 - 5x| = |6 - 3x | = 9
Because absolute value\u00A0of a number is its distance from zero, it can be a positive or negative value. Therefore, solve each of the following equations:
6 - 3x = 9
6 - 3x = -9
Solve the first equation.
6 - 3x = 9
-3x = 3
x = -1
Solve the next equation.
6 - 3x = -9
-3x = -15
x = 5
Therefore, x = -1 or x = 5