Solve 1-9/5x=2/5

$$1- \frac{ 9 }{ 5 } x= \frac{ 2 }{ 5 }$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Subtract 1 from both sides.

$$-\frac{9}{5}x=\frac{2}{5}-1$$

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

$$-\frac{9}{5}x=\frac{2}{5}-\frac{5}{5}$$

Since \frac{2}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{9}{5}x=\frac{2-5}{5}$$

Subtract 5 from 2 to get -3.

$$-\frac{9}{5}x=-\frac{3}{5}$$

Multiply both sides by -\frac{5}{9}, the reciprocal of -\frac{9}{5}.

$$x=-\frac{3}{5}\left(-\frac{5}{9}\right)$$

Multiply -\frac{3}{5} times -\frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-3\left(-5\right)}{5\times 9}$$

Do the multiplications in the fraction \frac{-3\left(-5\right)}{5\times 9}.

$$x=\frac{15}{45}$$

Reduce the fraction \frac{15}{45} to lowest terms by extracting and canceling out 15.

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