What is the answer for -6-2|7x+5|=-12?

puntgewelb5

puntgewelb5

Answered question

2021-12-03

What is the answer for -6-2|7x+5|=-12?

Answer & Explanation

Whouldess

Whouldess

Beginner2021-12-04Added 11 answers

Step 1
Given equation: -6-2|7x +5| = -12
Refine the equation.
6-2|7x+5|=-12
-2|7x+5|=-6
|7x+5|=3
Step 2
Solve the absolute value.
|7x+5|=3
7x+5=3 or 7x+5=3
Step 3
Consider
Case 1:
7x+5=3
7x=-2
x=27
Case 2:
7x+5=-3
7x=-8
x=87
Step 4
The solutions are x=27 or x=87.
Step 5
Check by substituting into the original equation.
|7(27)+5|=3
|-2+5|=3
3=3
|7(87)+5|=3
|-8+5|=3
3=3

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