Question
Solve the equation
Solve for x
x=25
Alternative Form
x=2.5
Evaluate
(x+6)2=(11−x)2
Raise both sides of the equation to the reciprocal of the exponent
((x+6)2)21=((11−x)2)21
Evaluate the power
∣x+6∣=∣11−x∣
Evaluate
x+6=11−xx+6=−(11−x)
Calculate
More Steps
Evaluate
x+6=11−x
Move the expression to the left side
x+6+x=11
Move the expression to the right side
x+x=11−6
Add and subtract
More Steps
Evaluate
x+x
Collect like terms by calculating the sum or difference of their coefficients
(1+1)x
Add the numbers
2x
2x=11−6
Add and subtract
2x=5
Divide both sides
22x=25
Divide the numbers
x=25
x=25x+6=−(11−x)
Calculate
More Steps
Evaluate
x+6=−(11−x)
Calculate
x+6=−11+x
Cancel equal terms on both sides of the expression
6=−11
The statement is false for any value of x
x∈∅
x=25x∈∅
Solution
x=25
Alternative Form
x=2.5
Show Solution