Solve 3/10x+3/2=1/3x

$$\frac { 3 } { 10 } x + \frac { 3 } { 2 } = \frac { 1 } { 3 } x$$

Solve for x

$$x=45$$

Steps for Solving Linear Equation

Subtract \frac{1}{3}x from both sides.

$$\frac{3}{10}x+\frac{3}{2}-\frac{1}{3}x=0$$

Combine \frac{3}{10}x and -\frac{1}{3}x to get -\frac{1}{30}x.

$$-\frac{1}{30}x+\frac{3}{2}=0$$

Subtract \frac{3}{2} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{30}x=-\frac{3}{2}$$

Multiply both sides by -30, the reciprocal of -\frac{1}{30}.

$$x=-\frac{3}{2}\left(-30\right)$$

Express -\frac{3}{2}\left(-30\right) as a single fraction.

$$x=\frac{-3\left(-30\right)}{2}$$

Multiply -3 and -30 to get 90.

$$x=\frac{90}{2}$$

Divide 90 by 2 to get 45.

$$x=45$$