Question
Solve the equation
x1=−1,x2=21
Alternative Form
x1=−1,x2=0.5
Evaluate
3∣x∣=2−x
Transform the expression
3x=2−x,x≥03(−x)=2−x,x<0
Calculate
More Steps

Calculate
3x=2−x
Move the variable to the left side
3x+x=2
Add the terms
More Steps

Evaluate
3x+x
Collect like terms by calculating the sum or difference of their coefficients
(3+1)x
Add the numbers
4x
4x=2
Divide both sides
44x=42
Divide the numbers
x=42
Cancel out the common factor 2
x=21
x=21,x≥03(−x)=2−x,x<0
Calculate
More Steps

Calculate
3(−x)=2−x
Calculate
−3x=2−x
Move the variable to the left side
−3x+x=2
Add the terms
More Steps

Evaluate
−3x+x
Collect like terms by calculating the sum or difference of their coefficients
(−3+1)x
Add the numbers
−2x
−2x=2
Change the signs on both sides of the equation
2x=−2
Divide both sides
22x=2−2
Divide the numbers
x=2−2
Divide the numbers
More Steps

Evaluate
2−2
Reduce the numbers
1−1
Calculate
−1
x=−1
x=21,x≥0x=−1,x<0
Calculate
x=21x=−1,x<0
Calculate
x=21x=−1
Solution
x1=−1,x2=21
Alternative Form
x1=−1,x2=0.5
Show Solution
