Solve for all values of x in simplest form. 8-|6-4x|=7

rabbitz42z8

rabbitz42z8

Answered question

2021-12-07

Solve for all values of x in simplest form.
8-|6-4x|=7

Answer & Explanation

David Tyson

David Tyson

Beginner2021-12-08Added 19 answers

Step 1
Given,
8-|6-4x|=7
Step 2
Now Consider,
8-|6-4x|=7
Now subtract both sides of the equation by "8" we get,
8-|6-4x|-8=7-8
-|6-4x|=-1
Now multiply both sides of the equation by "-1" we get,
(1)×(|64x|)=1(1)
|6-4x|=1
Now Use the absolute value definition we get,
|x-a|=r then we have (x-a)=r and (x-a)=-r
Use this we get,
6-4x=1
Now Subtract both sides of the equation by "6" we get,
6-4x-6=1-6
-4x=-5
Now divide both sides of the equation by "-4" we get,
4x4=54
x=54
and
6-4x=-1
Now Subtract both sides of the equation by "6" we get,
6-4x-6=-1-6
-4x=-7
Now divide both sides of the equation by "-4" we get,
4x4=74
x=74
Therefore the value of x are x=54 and x=74

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