Solve the equation. |x-1|=|3x+2|

Carol Valentine

Carol Valentine

Answered question

2021-12-12

Solve the equation.
|x-1|=|3x+2|

Answer & Explanation

deginasiba

deginasiba

Beginner2021-12-13Added 31 answers

Step 1
Given equation:
|x-1|=|3x+2|
Solve Absolute Value.
|x-1|=|3x+2|
We know either x-1=3x+2 or x-1=-(3x+2)
Step 2
Solve the x-1=3x+2
Subtract 3x from both sides
x-1-3x=3x+2-3x
-2x-1=2
Add 1 to both sides, we get
-2x-1+1=2+1
-2x=3
x=32
Now solve x-1=-(3x+2)
Add 3x to both sides, we get
x-1+3x=-3x-2+3x
4x-1=-2
Step 3
Add 1 to both sides, we get
4x-1+1=-2+1
4x=-1
x=14
Hence the value of x are 32 and 14

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