chanyingsauu7

2021-12-06

Solve.

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

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

Tionant

Beginner2021-12-07Added 17 answers

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,

$\frac{-4|7x+6|}{(-4)}=-\frac{20}{(-4)}$

|7x+6|=5

Since we have absolute value so$7x+6=\pm 5$

Step 3 : Solution

When 7x+6=5,

7x+6=5

7x=5-6

$x=-\frac{1}{7}$

When 7x+6 =-5,

7x+6=-5

7x=-5-6

$x=-\frac{11}{7}$

Therefore the solutions are$x=-\frac{1}{7}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x=-\frac{11}{7}$

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,

|7x+6|=5

Since we have absolute value so

Step 3 : Solution

When 7x+6=5,

7x+6=5

7x=5-6

When 7x+6 =-5,

7x+6=-5

7x=-5-6

Therefore the solutions are