Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−12,x2=20
Evaluate
5×8∣x−4∣=10
Multiply the terms
85∣x−4∣=10
Cross multiply
5∣x−4∣=8×10
Simplify the equation
5∣x−4∣=80
Divide both sides
55∣x−4∣=580
Divide the numbers
∣x−4∣=580
Divide the numbers
More Steps
Evaluate
580
Reduce the numbers
116
Calculate
16
∣x−4∣=16
Separate the equation into 2 possible cases
x−4=16x−4=−16
Solve the equation for x
More Steps
Evaluate
x−4=16
Move the constant to the right-hand side and change its sign
x=16+4
Add the numbers
x=20
x=20x−4=−16
Solve the equation for x
More Steps
Evaluate
x−4=−16
Move the constant to the right-hand side and change its sign
x=−16+4
Add the numbers
x=−12
x=20x=−12
Solution
x1=−12,x2=20
Show Solution
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