Question
∣3−2x∣=1
Solve the equation
x1=1,x2=2
Evaluate
∣3−2x∣=1
Separate the equation into 2 possible cases
3−2x=13−2x=−1
Solve the equation for x
More Steps

Evaluate
3−2x=1
Move the constant to the right-hand side and change its sign
−2x=1−3
Subtract the numbers
−2x=−2
Change the signs on both sides of the equation
2x=2
Divide both sides
22x=22
Divide the numbers
x=22
Divide the numbers
More Steps

Evaluate
22
Reduce the numbers
11
Calculate
1
x=1
x=13−2x=−1
Solve the equation for x
More Steps

Evaluate
3−2x=−1
Move the constant to the right-hand side and change its sign
−2x=−1−3
Subtract the numbers
−2x=−4
Change the signs on both sides of the equation
2x=4
Divide both sides
22x=24
Divide the numbers
x=24
Divide the numbers
More Steps

Evaluate
24
Reduce the numbers
12
Calculate
2
x=2
x=1x=2
Solution
x1=1,x2=2
Show Solution
