Solve 4/5x-1/10=3/10

$$\frac { 4 } { 5 } x - \frac { 1 } { 10 } = \frac { 3 } { 10 }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Add \frac{1}{10} to both sides.

$$\frac{4}{5}x=\frac{3}{10}+\frac{1}{10}$$

Since \frac{3}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{4}{5}x=\frac{3+1}{10}$$

Add 3 and 1 to get 4.

$$\frac{4}{5}x=\frac{4}{10}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

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

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

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

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

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

Cancel out 5 in both numerator and denominator.

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

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

$$x=\frac{1}{2}$$