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

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

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Subtract \frac{1}{5}x from both sides.

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

Combine \frac{1}{3}x and -\frac{1}{5}x to get \frac{2}{15}x.

$$\frac{2}{15}x=\frac{4}{5}$$

Multiply both sides by \frac{15}{2}, the reciprocal of \frac{2}{15}.

$$x=\frac{4}{5}\times \frac{15}{2}$$

Multiply \frac{4}{5} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4\times 15}{5\times 2}$$

Do the multiplications in the fraction \frac{4\times 15}{5\times 2}.

$$x=\frac{60}{10}$$

Divide 60 by 10 to get 6.

$$x=6$$