Algebra
Calculus
Trigonometry
Matrix
Question
∣−8x−11∣=53
Solve the equation
x1=−8,x2=421
Alternative Form
x1=−8,x2=5.25
Evaluate
∣−8x−11∣=53
Rewrite the expression
∣8x+11∣=53
Separate the equation into 2 possible cases
8x+11=538x+11=−53
Solve the equation for x
More Steps
Evaluate
8x+11=53
Move the constant to the right-hand side and change its sign
8x=53−11
Subtract the numbers
8x=42
Divide both sides
88x=842
Divide the numbers
x=842
Cancel out the common factor 2
x=421
x=4218x+11=−53
Solve the equation for x
More Steps
Evaluate
8x+11=−53
Move the constant to the right-hand side and change its sign
8x=−53−11
Subtract the numbers
8x=−64
Divide both sides
88x=8−64
Divide the numbers
x=8−64
Divide the numbers
More Steps
Evaluate
8−64
Reduce the numbers
1−8
Calculate
−8
x=−8
x=421x=−8
Solution
x1=−8,x2=421
Alternative Form
x1=−8,x2=5.25
Show Solution
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