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

chanyingsauu7

chanyingsauu7

Answered question

2021-12-06

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

Answer & Explanation

Tionant

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,
4|7x+6|(4)=20(4)
|7x+6|=5
Since we have absolute value so 7x+6=±5
Step 3 : Solution
When 7x+6=5,
7x+6=5
7x=5-6
x=17
When 7x+6 =-5,
7x+6=-5
7x=-5-6
x=117
Therefore the solutions are x=17 and x=117

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