Skip to main content
Solve for x
Tick mark Image
Graph

Share

3\times 12=\frac{2}{3}\times 6\times 3x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.
36=\frac{2}{3}\times 6\times 3x
Multiply 3 and 12 to get 36.
36=\frac{2\times 6}{3}\times 3x
Express \frac{2}{3}\times 6 as a single fraction.
36=\frac{12}{3}\times 3x
Multiply 2 and 6 to get 12.
36=4\times 3x
Divide 12 by 3 to get 4.
36=12x
Multiply 4 and 3 to get 12.
12x=36
Swap sides so that all variable terms are on the left hand side.
x=\frac{36}{12}
Divide both sides by 12.
x=3
Divide 36 by 12 to get 3.