Solve. -3-4|7x+6|=-23

Step 1 : Analysis
Given :
-3-4|7x+6|=-23
Step 2 : Simplification
We have,
-3-4|7x+6|=-23
Adding 3 on both sides,
3-3-4|7x+6|=3-23
-4|7x+6|=-20
Dividing by -4 on both sides,
${\displaystyle \frac{-4|7x+6|}{(-4)}=-\frac{20}{(-4)}}$
|7x+6|=5
Since we have absolute value so ${\displaystyle 7x+6=\pm 5}$
Step 3 : Solution
When 7x+6=5,
7x+6=5
7x=5-6
${\displaystyle x=-\frac{1}{7}}$
When 7x+6 =-5,
7x+6=-5
7x=-5-6
${\displaystyle x=-\frac{11}{7}}$
Therefore the solutions are ${\displaystyle x=-\frac{1}{7}\text{and}x=-\frac{11}{7}}$