Question
Solve the equation
Solve for x
x1=−32,x2=52
Alternative Form
x1=−0.6˙,x2=0.4
Evaluate
∣x−2∣=∣4x∣
Evaluate
x−2=4xx−2=−4x
Calculate
More Steps

Evaluate
x−2=4x
Move the variable to the left side
x−2−4x=0
Subtract the terms
More Steps

Evaluate
x−4x
Collect like terms by calculating the sum or difference of their coefficients
(1−4)x
Subtract the numbers
−3x
−3x−2=0
Move the constant to the right side
−3x=0+2
Removing 0 doesn't change the value,so remove it from the expression
−3x=2
Change the signs on both sides of the equation
3x=−2
Divide both sides
33x=3−2
Divide the numbers
x=3−2
Use b−a=−ba=−ba to rewrite the fraction
x=−32
x=−32x−2=−4x
Calculate
More Steps

Evaluate
x−2=−4x
Move the variable to the left side
x−2+4x=0
Add the terms
More Steps

Evaluate
x+4x
Collect like terms by calculating the sum or difference of their coefficients
(1+4)x
Add the numbers
5x
5x−2=0
Move the constant to the right side
5x=0+2
Removing 0 doesn't change the value,so remove it from the expression
5x=2
Divide both sides
55x=52
Divide the numbers
x=52
x=−32x=52
Solution
x1=−32,x2=52
Alternative Form
x1=−0.6˙,x2=0.4
Show Solution