Question
Solve the equation
x=−13
Evaluate
−8(4x+17)=5(6x+134)
Calculate
More Steps

Evaluate
−8(4x+17)
Apply the distributive property
−8×4x−8×17
Multiply the numbers
−32x−8×17
Multiply the numbers
−32x−136
−32x−136=5(6x+134)
Calculate
More Steps

Evaluate
5(6x+134)
Apply the distributive property
5×6x+5×134
Multiply the numbers
30x+5×134
Multiply the numbers
30x+670
−32x−136=30x+670
Move the expression to the left side
−32x−136−(30x+670)=0
Calculate
More Steps

Add the terms
−32x−136−(30x+670)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−32x−136−30x−670
Subtract the terms
More Steps

Evaluate
−32x−30x
Collect like terms by calculating the sum or difference of their coefficients
(−32−30)x
Subtract the numbers
−62x
−62x−136−670
Subtract the numbers
−62x−806
−62x−806=0
Move the constant to the right-hand side and change its sign
−62x=0+806
Removing 0 doesn't change the value,so remove it from the expression
−62x=806
Change the signs on both sides of the equation
62x=−806
Divide both sides
6262x=62−806
Divide the numbers
x=62−806
Solution
More Steps

Evaluate
62−806
Reduce the numbers
1−13
Calculate
−13
x=−13
Show Solution

Rewrite the equation
x=−13
Evaluate
−8(4x+17)=5(6x+134)
Multiply
More Steps

Evaluate
−8(4x+17)
Apply the distributive property
−8×4x−8×17
Multiply the numbers
−32x−8×17
Multiply the numbers
−32x−136
−32x−136=5(6x+134)
Multiply
More Steps

Evaluate
5(6x+134)
Apply the distributive property
5×6x+5×134
Multiply the numbers
30x+5×134
Multiply the numbers
30x+670
−32x−136=30x+670
Move the variable to the left side
−62x−136=670
Move the constant to the right side
−62x=806
Multiply both sides
62x=−806
Solution
x=−13
Show Solution
