Solve 1-4/5x=0.6

$$1 - \frac { 4 } { 5 } x = 0.6$$

Solve for x

$$x=0.5$$

Steps for Solving Linear Equation

Subtract 1 from both sides.

$$-\frac{4}{5}x=0.6-1$$

Subtract 1 from 0.6 to get -0.4.

$$-\frac{4}{5}x=-0.4$$

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

$$x=-0.4\left(-\frac{5}{4}\right)$$

Convert decimal number -0.4 to fraction -\frac{4}{10}. Reduce the fraction -\frac{4}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{2}{5}\left(-\frac{5}{4}\right)$$

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

$$x=\frac{-2\left(-5\right)}{5\times 4}$$

Do the multiplications in the fraction \frac{-2\left(-5\right)}{5\times 4}.

$$x=\frac{10}{20}$$

Reduce the fraction \frac{10}{20} to lowest terms by extracting and canceling out 10.

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