Find the absolute value. -6+6|5x-4|=30

Roger Smith

Roger Smith

Answered question

2021-12-11

Find the absolute value.
-6+6|5x-4|=30

Answer & Explanation

vrangett

vrangett

Beginner2021-12-12Added 36 answers

Step 1
Absolute Rule:
If |u| = a and a > 0, then u = a or u = -a.
The given equality is -6+6|5x-4|=30.
Step 2
Solve the given equality as follows.
-6+6|5x-4|=30
6|5x-4|=36
|5x-4|=6
Step 3
Simplify further as follows.
5x-4=-6 or 5x-4=6 ( by absolute rule)
5x=-2 or 5x=10
x=25 or x=2
Therefore, the required solutions are x = -2/5 and x = 2.

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