Solve 4/5+1/3x=1/2x-1/5

$$\frac { 4 } { 5 } + \frac { 1 } { 3 } x = \frac { 1 } { 2 } x - \frac { 1 } { 5 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Subtract \frac{1}{2}x from both sides.

$$\frac{4}{5}+\frac{1}{3}x-\frac{1}{2}x=-\frac{1}{5}$$

Combine \frac{1}{3}x and -\frac{1}{2}x to get -\frac{1}{6}x.

$$\frac{4}{5}-\frac{1}{6}x=-\frac{1}{5}$$

Subtract \frac{4}{5} from both sides.

$$-\frac{1}{6}x=-\frac{1}{5}-\frac{4}{5}$$

Since -\frac{1}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{6}x=\frac{-1-4}{5}$$

Subtract 4 from -1 to get -5.

$$-\frac{1}{6}x=\frac{-5}{5}$$

Divide -5 by 5 to get -1.

$$-\frac{1}{6}x=-1$$

Multiply both sides by -6, the reciprocal of -\frac{1}{6}.

$$x=-\left(-6\right)$$

Multiply -1 and -6 to get 6.

$$x=6$$