Question
Solve the equation
x=18
Evaluate
32x−12+45(32x−12)=0
Simplify
More Steps

Evaluate
32x−12+45(32x−12)
Multiply the terms
More Steps

Evaluate
45(32x−12)
Apply the distributive property
45×32x−45×12
Multiply the numbers
65x−45×12
Multiply the numbers
65x−15
32x−12+65x−15
Add the terms
More Steps

Evaluate
32x+65x
Collect like terms by calculating the sum or difference of their coefficients
(32+65)x
Add the numbers
23x
23x−12−15
Subtract the numbers
23x−27
23x−27=0
Move the constant to the right-hand side and change its sign
23x=0+27
Removing 0 doesn't change the value,so remove it from the expression
23x=27
Multiply by the reciprocal
23x×32=27×32
Multiply
x=27×32
Solution
More Steps

Evaluate
27×32
Reduce the numbers
9×2
Multiply the numbers
18
x=18
Show Solution

Rewrite the equation
x=18
Evaluate
32x−12+45(32x−12)=0
Evaluate
More Steps

Evaluate
32x−12+45(32x−12)
Multiply the terms
More Steps

Evaluate
45(32x−12)
Apply the distributive property
45×32x−45×12
Multiply the numbers
65x−45×12
Multiply the numbers
65x−15
32x−12+65x−15
Add the terms
More Steps

Evaluate
32x+65x
Collect like terms by calculating the sum or difference of their coefficients
(32+65)x
Add the numbers
23x
23x−12−15
Subtract the numbers
23x−27
23x−27=0
Multiply both sides of the equation by LCD
3x−54=0
Move the constant to the right side
3x=54
Solution
x=18
Show Solution
