Question
Solve the equation
Solve for x
x1=−2,x2=5
Evaluate
∣2x−3∣=7
Separate the equation into 2 possible cases
2x−3=72x−3=−7
Solve the equation for x
More Steps

Evaluate
2x−3=7
Move the constant to the right-hand side and change its sign
2x=7+3
Add the numbers
2x=10
Divide both sides
22x=210
Divide the numbers
x=210
Divide the numbers
More Steps

Evaluate
210
Reduce the numbers
15
Calculate
5
x=5
x=52x−3=−7
Solve the equation for x
More Steps

Evaluate
2x−3=−7
Move the constant to the right-hand side and change its sign
2x=−7+3
Add the numbers
2x=−4
Divide both sides
22x=2−4
Divide the numbers
x=2−4
Divide the numbers
More Steps

Evaluate
2−4
Reduce the numbers
1−2
Calculate
−2
x=−2
x=5x=−2
Solution
x1=−2,x2=5
Show Solution