Solve 3/2x-3/4x=2/6-4/12

$$\frac { 3 } { 2 } x - \frac { 3 } { 4 } x = \frac { 2 } { 6 } - \frac { 4 } { 12 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Combine \frac{3}{2}x and -\frac{3}{4}x to get \frac{3}{4}x.

$$\frac{3}{4}x=\frac{2}{6}-\frac{4}{12}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}x=\frac{1}{3}-\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}x=\frac{1}{3}-\frac{1}{3}$$

Subtract \frac{1}{3} from \frac{1}{3} to get 0.

$$\frac{3}{4}x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{3}{4} is not equal to 0, x must be equal to 0.

$$x=0$$