Solve x+3/2=3x-1/2

$$x + \frac { 3 } { 2 } = 3 x - \frac { 1 } { 2 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$x+\frac{3}{2}-3x=-\frac{1}{2}$$

Combine x and -3x to get -2x.

$$-2x+\frac{3}{2}=-\frac{1}{2}$$

Subtract \frac{3}{2} from both sides.

$$-2x=-\frac{1}{2}-\frac{3}{2}$$

Since -\frac{1}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{-1-3}{2}$$

Subtract 3 from -1 to get -4.

$$-2x=\frac{-4}{2}$$

Divide -4 by 2 to get -2.

$$-2x=-2$$

Divide both sides by -2.

$$x=\frac{-2}{-2}$$

Divide -2 by -2 to get 1.

$$x=1$$