Question
Solve the equation
Solve for x
x=−3
Evaluate
3(x+5)=2(−6−x)−4x
Calculate
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Evaluate
3(x+5)
Apply the distributive property
3x+3×5
Multiply the numbers
3x+15
3x+15=2(−6−x)−4x
Calculate
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Evaluate
2(−6−x)−4x
Expand the expression
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Calculate
2(−6−x)
Apply the distributive property
2(−6)−2x
Multiply the numbers
−12−2x
−12−2x−4x
Subtract the terms
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Evaluate
−2x−4x
Collect like terms by calculating the sum or difference of their coefficients
(−2−4)x
Subtract the numbers
−6x
−12−6x
3x+15=−12−6x
Move the expression to the left side
3x+15−(−12−6x)=0
Calculate the sum or difference
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Add the terms
3x+15−(−12−6x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3x+15+12+6x
Add the terms
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Evaluate
3x+6x
Collect like terms by calculating the sum or difference of their coefficients
(3+6)x
Add the numbers
9x
9x+15+12
Add the numbers
9x+27
9x+27=0
Move the constant to the right-hand side and change its sign
9x=0−27
Removing 0 doesn't change the value,so remove it from the expression
9x=−27
Divide both sides
99x=9−27
Divide the numbers
x=9−27
Solution
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Evaluate
9−27
Reduce the numbers
1−3
Calculate
−3
x=−3
Show Solution
Rewrite the equation
Rewrite in standard form
x=−3
Evaluate
3(x+5)=2(−6−x)−4x
Evaluate
More Steps
Evaluate
2(−6−x)−4x
Expand the expression
More Steps
Calculate
2(−6−x)
Apply the distributive property
2(−6)−2x
Multiply the numbers
−12−2x
−12−2x−4x
Subtract the terms
More Steps
Evaluate
−2x−4x
Collect like terms by calculating the sum or difference of their coefficients
(−2−4)x
Subtract the numbers
−6x
−12−6x
3(x+5)=−12−6x
Multiply
More Steps
Evaluate
3(x+5)
Apply the distributive property
3x+3×5
Multiply the numbers
3x+15
3x+15=−12−6x
Move the variable to the left side
9x+15=−12
Move the constant to the right side
9x=−27
Solution
x=−3
Show Solution