Question
Solve the equation
Solve for x
x=−6
Evaluate
−(5x+4)+9x=7+7(1+x)
Simplify
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Evaluate
−(5x+4)+9x
Multiply the terms
−5x−4+9x
Add the terms
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Evaluate
−5x+9x
Collect like terms by calculating the sum or difference of their coefficients
(−5+9)x
Add the numbers
4x
4x−4
4x−4=7+7(1+x)
Move the expression to the left side
4x−4−(7+7(1+x))=0
Subtract the terms
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Evaluate
4x−4−(7+7(1+x))
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4x−4−7−7(1+x)
Subtract the numbers
4x−11−7(1+x)
4x−11−7(1+x)=0
Calculate
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Evaluate
4x−11−7(1+x)
Expand the expression
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Calculate
−7(1+x)
Apply the distributive property
−7×1−7x
Any expression multiplied by 1 remains the same
−7−7x
4x−11−7−7x
Subtract the terms
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Evaluate
4x−7x
Collect like terms by calculating the sum or difference of their coefficients
(4−7)x
Subtract the numbers
−3x
−3x−11−7
Subtract the numbers
−3x−18
−3x−18=0
Move the constant to the right-hand side and change its sign
−3x=0+18
Removing 0 doesn't change the value,so remove it from the expression
−3x=18
Change the signs on both sides of the equation
3x=−18
Divide both sides
33x=3−18
Divide the numbers
x=3−18
Solution
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Evaluate
3−18
Reduce the numbers
1−6
Calculate
−6
x=−6
Show Solution
Rewrite the equation
Rewrite in standard form
x=−6
Evaluate
−(5x+4)+9x=7+7(1+x)
Evaluate
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Evaluate
−(5x+4)+9x
Multiply the terms
−5x−4+9x
Add the terms
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Evaluate
−5x+9x
Collect like terms by calculating the sum or difference of their coefficients
(−5+9)x
Add the numbers
4x
4x−4
4x−4=7+7(1+x)
Evaluate
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Evaluate
7+7(1+x)
Expand the expression
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Calculate
7(1+x)
Apply the distributive property
7×1+7x
Any expression multiplied by 1 remains the same
7+7x
7+7+7x
Add the numbers
14+7x
4x−4=14+7x
Move the variable to the left side
−3x−4=14
Move the constant to the right side
−3x=18
Multiply both sides
3x=−18
Solution
x=−6
Show Solution