Question
Solve the equation
x=−56
Alternative Form
x=−1.2
Evaluate
2(4x−5)+2(x+8)=5x
Move the expression to the left side
2(4x−5)+2(x+8)−5x=0
Calculate the sum or difference
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Evaluate
2(4x−5)+2(x+8)−5x
Expand the expression
More Steps

Calculate
2(4x−5)
Apply the distributive property
2×4x−2×5
Multiply the numbers
8x−2×5
Multiply the numbers
8x−10
8x−10+2(x+8)−5x
Expand the expression
More Steps

Calculate
2(x+8)
Apply the distributive property
2x+2×8
Multiply the numbers
2x+16
8x−10+2x+16−5x
Calculate the sum or difference
More Steps

Evaluate
8x+2x−5x
Collect like terms by calculating the sum or difference of their coefficients
(8+2−5)x
Calculate the sum or difference
5x
5x−10+16
Add the numbers
5x+6
5x+6=0
Move the constant to the right-hand side and change its sign
5x=0−6
Removing 0 doesn't change the value,so remove it from the expression
5x=−6
Divide both sides
55x=5−6
Divide the numbers
x=5−6
Solution
x=−56
Alternative Form
x=−1.2
Show Solution

Rewrite the equation
5x=−6
Evaluate
2(4x−5)+2(x+8)=5x
Evaluate
More Steps

Evaluate
2(4x−5)+2(x+8)
Expand the expression
More Steps

Calculate
2(4x−5)
Apply the distributive property
2×4x−2×5
Multiply the numbers
8x−2×5
Multiply the numbers
8x−10
8x−10+2(x+8)
Expand the expression
More Steps

Calculate
2(x+8)
Apply the distributive property
2x+2×8
Multiply the numbers
2x+16
8x−10+2x+16
Add the terms
More Steps

Evaluate
8x+2x
Collect like terms by calculating the sum or difference of their coefficients
(8+2)x
Add the numbers
10x
10x−10+16
Add the numbers
10x+6
10x+6=5x
Move the variable to the left side
5x+6=0
Solution
5x=−6
Show Solution
