Solve 3/2x+9/5=7/5x

$$\frac { 3 } { 2 } x + \frac { 9 } { 5 } = \frac { 7 } { 5 } x$$

Solve for x

$$x=-18$$

Steps for Solving Linear Equation

Subtract \frac{7}{5}x from both sides.

$$\frac{3}{2}x+\frac{9}{5}-\frac{7}{5}x=0$$

Combine \frac{3}{2}x and -\frac{7}{5}x to get \frac{1}{10}x.

$$\frac{1}{10}x+\frac{9}{5}=0$$

Subtract \frac{9}{5} from both sides. Anything subtracted from zero gives its negation.

$$\frac{1}{10}x=-\frac{9}{5}$$

Multiply both sides by 10, the reciprocal of \frac{1}{10}.

$$x=-\frac{9}{5}\times 10$$

Express -\frac{9}{5}\times 10 as a single fraction.

$$x=\frac{-9\times 10}{5}$$

Multiply -9 and 10 to get -90.

$$x=\frac{-90}{5}$$

Divide -90 by 5 to get -18.

$$x=-18$$