Solve 3/5x-1/5=1

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Add \frac{1}{5} to both sides.

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

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

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

Add 5 and 1 to get 6.

$$\frac{3}{5}x=\frac{6}{5}$$

Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.

$$x=\frac{6}{5}\times \frac{5}{3}$$

Multiply \frac{6}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{6\times 5}{5\times 3}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$x=2$$