Question
Solve the equation
x=25216
Alternative Form
x=8.64
Evaluate
4×36x=(3×2x)−12
Multiply the terms
More Steps

Multiply the terms
4×36x
Cancel out the common factor 4
1×9x
Multiply the terms
9x
9x=(3×2x)−12
Multiply the terms
9x=23x−12
Multiply both sides of the equation by LCD
9x×18=(23x−12)×18
Simplify the equation
More Steps

Evaluate
9x×18
Simplify
x×2
Use the commutative property to reorder the terms
2x
2x=(23x−12)×18
Simplify the equation
More Steps

Evaluate
(23x−12)×18
Apply the distributive property
23x×18−12×18
Simplify
3x×9−12×18
Multiply the numbers
27x−12×18
Multiply the numbers
27x−216
2x=27x−216
Move the variable to the left side
2x−27x=−216
Subtract the terms
More Steps

Evaluate
2x−27x
Collect like terms by calculating the sum or difference of their coefficients
(2−27)x
Subtract the numbers
−25x
−25x=−216
Change the signs on both sides of the equation
25x=216
Divide both sides
2525x=25216
Solution
x=25216
Alternative Form
x=8.64
Show Solution

Rewrite the equation
25x=216
Evaluate
4(36x)=(3×2x)−12
Evaluate
More Steps

Evaluate
4×36x
Cancel out the common factor 4
1×9x
Multiply the terms
9x
9x=(3×2x)−12
Evaluate
9x=23x−12
Reduce the fraction
91x=23x−12
Rewrite the expression
91x=23x−12
Multiply both sides of the equation by LCD
2x=27x−216
Move the variable to the left side
−25x=−216
Solution
25x=216
Show Solution
