Solve x+1/5x=4/5

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

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Combine x and \frac{1}{5}x to get \frac{6}{5}x.

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

Multiply both sides by \frac{5}{6}, the reciprocal of \frac{6}{5}.

$$x=\frac{4}{5}\times \frac{5}{6}$$

Multiply \frac{4}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4\times 5}{5\times 6}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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