Question
Solve the equation
x1=−21,x2=43
Alternative Form
x1=−0.5,x2=0.75
Evaluate
∣x−2∣=∣3x−1∣
Evaluate
x−2=3x−1x−2=−(3x−1)
Calculate
More Steps

Evaluate
x−2=3x−1
Move the expression to the left side
x−2−3x=−1
Move the expression to the right side
x−3x=−1+2
Add and subtract
More Steps

Evaluate
x−3x
Collect like terms by calculating the sum or difference of their coefficients
(1−3)x
Subtract the numbers
−2x
−2x=−1+2
Add and subtract
−2x=1
Change the signs on both sides of the equation
2x=−1
Divide both sides
22x=2−1
Divide the numbers
x=2−1
Use b−a=−ba=−ba to rewrite the fraction
x=−21
x=−21x−2=−(3x−1)
Calculate
More Steps

Evaluate
x−2=−(3x−1)
Calculate
x−2=−3x+1
Move the expression to the left side
x−2+3x=1
Move the expression to the right side
x+3x=1+2
Add and subtract
More Steps

Evaluate
x+3x
Collect like terms by calculating the sum or difference of their coefficients
(1+3)x
Add the numbers
4x
4x=1+2
Add and subtract
4x=3
Divide both sides
44x=43
Divide the numbers
x=43
x=−21x=43
Solution
x1=−21,x2=43
Alternative Form
x1=−0.5,x2=0.75
Show Solution
