Question
Solve the equation
Solve for x
x=−5
Evaluate
51(5x−5)+3x=−9(31x+4)
Simplify
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Evaluate
51(5x−5)+3x
Multiply the terms
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Evaluate
51(5x−5)
Apply the distributive property
51×5x−51×5
Multiply the numbers
x−51×5
Multiply the numbers
x−1
x−1+3x
Add the terms
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Evaluate
x+3x
Collect like terms by calculating the sum or difference of their coefficients
(1+3)x
Add the numbers
4x
4x−1
4x−1=−9(31x+4)
Expand the expression
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Evaluate
−9(31x+4)
Apply the distributive property
−9×31x−9×4
Multiply the numbers
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Evaluate
−9×31
Reduce the numbers
−3×1
Simplify
−3
−3x−9×4
Multiply the numbers
−3x−36
4x−1=−3x−36
Move the expression to the left side
4x−1+3x=−36
Move the expression to the right side
4x+3x=−36+1
Add and subtract
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Evaluate
4x+3x
Collect like terms by calculating the sum or difference of their coefficients
(4+3)x
Add the numbers
7x
7x=−36+1
Add and subtract
7x=−35
Divide both sides
77x=7−35
Divide the numbers
x=7−35
Solution
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Evaluate
7−35
Reduce the numbers
1−5
Calculate
−5
x=−5
Show Solution
Rewrite the equation
Rewrite in standard form
x=−5
Evaluate
51(5x−5)+3x=−9(31x+4)
Evaluate
More Steps

Evaluate
51(5x−5)+3x
Multiply the terms
More Steps

Evaluate
51(5x−5)
Apply the distributive property
51×5x−51×5
Multiply the numbers
x−51×5
Multiply the numbers
x−1
x−1+3x
Add the terms
More Steps

Evaluate
x+3x
Collect like terms by calculating the sum or difference of their coefficients
(1+3)x
Add the numbers
4x
4x−1
4x−1=−9(31x+4)
Multiply
More Steps

Evaluate
−9(31x+4)
Apply the distributive property
−9×31x−9×4
Multiply the numbers
More Steps

Evaluate
−9×31
Reduce the numbers
−3×1
Simplify
−3
−3x−9×4
Multiply the numbers
−3x−36
4x−1=−3x−36
Move the variable to the left side
7x−1=−36
Move the constant to the right side
7x=−35
Solution
x=−5
Show Solution