Question
Solve the equation
x=10
Evaluate
8x−11(x−2)=−8
Move the expression to the left side
8x−11(x−2)−(−8)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
8x−11(x−2)+8=0
Calculate the sum or difference
More Steps

Evaluate
8x−11(x−2)+8
Expand the expression
More Steps

Calculate
−11(x−2)
Apply the distributive property
−11x−(−11×2)
Multiply the numbers
−11x−(−22)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−11x+22
8x−11x+22+8
Subtract the terms
More Steps

Evaluate
8x−11x
Collect like terms by calculating the sum or difference of their coefficients
(8−11)x
Subtract the numbers
−3x
−3x+22+8
Add the numbers
−3x+30
−3x+30=0
Move the constant to the right-hand side and change its sign
−3x=0−30
Removing 0 doesn't change the value,so remove it from the expression
−3x=−30
Change the signs on both sides of the equation
3x=30
Divide both sides
33x=330
Divide the numbers
x=330
Solution
More Steps

Evaluate
330
Reduce the numbers
110
Calculate
10
x=10
Show Solution

Rewrite the equation
x=10
Evaluate
8x−11(x−2)=−8
Evaluate
More Steps

Evaluate
8x−11(x−2)
Expand the expression
More Steps

Calculate
−11(x−2)
Apply the distributive property
−11x−(−11×2)
Multiply the numbers
−11x−(−22)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−11x+22
8x−11x+22
Subtract the terms
More Steps

Evaluate
8x−11x
Collect like terms by calculating the sum or difference of their coefficients
(8−11)x
Subtract the numbers
−3x
−3x+22
−3x+22=−8
Move the constant to the right side
−3x=−30
Multiply both sides
3x=30
Solution
x=10
Show Solution
