Question
Solve the equation
x=4
Evaluate
33=12x−3(9−x)
Swap the sides of the equation
12x−3(9−x)=33
Move the expression to the left side
12x−3(9−x)−33=0
Calculate
More Steps

Evaluate
12x−3(9−x)−33
Expand the expression
More Steps

Calculate
−3(9−x)
Apply the distributive property
−3×9−(−3x)
Multiply the numbers
−27−(−3x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−27+3x
12x−27+3x−33
Add the terms
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Evaluate
12x+3x
Collect like terms by calculating the sum or difference of their coefficients
(12+3)x
Add the numbers
15x
15x−27−33
Subtract the numbers
15x−60
15x−60=0
Move the constant to the right-hand side and change its sign
15x=0+60
Removing 0 doesn't change the value,so remove it from the expression
15x=60
Divide both sides
1515x=1560
Divide the numbers
x=1560
Solution
More Steps

Evaluate
1560
Reduce the numbers
14
Calculate
4
x=4
Show Solution

Rewrite the equation
x=4
Evaluate
33=12x−3(9−x)
Evaluate
More Steps

Evaluate
12x−3(9−x)
Expand the expression
More Steps

Calculate
−3(9−x)
Apply the distributive property
−3×9−(−3x)
Multiply the numbers
−27−(−3x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−27+3x
12x−27+3x
Add the terms
More Steps

Evaluate
12x+3x
Collect like terms by calculating the sum or difference of their coefficients
(12+3)x
Add the numbers
15x
15x−27
33=15x−27
Rewrite the expression
15x−27=33
Move the constant to the right side
15x=60
Solution
x=4
Show Solution
