Question
Solve the equation
x=6
Evaluate
2(4x−5)−14−3x=6
Move the expression to the left side
2(4x−5)−14−3x−6=0
Subtract the numbers
2(4x−5)−20−3x=0
Calculate
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Evaluate
2(4x−5)−20−3x
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−10−20−3x
Subtract the terms
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Evaluate
8x−3x
Collect like terms by calculating the sum or difference of their coefficients
(8−3)x
Subtract the numbers
5x
5x−10−20
Subtract the numbers
5x−30
5x−30=0
Move the constant to the right-hand side and change its sign
5x=0+30
Removing 0 doesn't change the value,so remove it from the expression
5x=30
Divide both sides
55x=530
Divide the numbers
x=530
Solution
More Steps

Evaluate
530
Reduce the numbers
16
Calculate
6
x=6
Show Solution

Rewrite the equation
x=6
Evaluate
2(4x−5)−14−3x=6
Evaluate
More Steps

Evaluate
2(4x−5)−14−3x
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−10−14−3x
Subtract the terms
More Steps

Evaluate
8x−3x
Collect like terms by calculating the sum or difference of their coefficients
(8−3)x
Subtract the numbers
5x
5x−10−14
Subtract the numbers
5x−24
5x−24=6
Move the constant to the right side
5x=30
Solution
x=6
Show Solution
