Solve 0.8x-2/3x=1-0.2

$$0.8 x - \frac { 2 } { 3 } x = 1 - 0.2$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Combine 0.8x and -\frac{2}{3}x to get \frac{2}{15}x.

$$\frac{2}{15}x=1-0.2$$

Subtract 0.2 from 1 to get 0.8.

$$\frac{2}{15}x=0.8$$

Multiply both sides by \frac{15}{2}, the reciprocal of \frac{2}{15}.

$$x=0.8\times \frac{15}{2}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{4}{5}\times \frac{15}{2}$$

Multiply \frac{4}{5} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4\times 15}{5\times 2}$$

Do the multiplications in the fraction \frac{4\times 15}{5\times 2}.

$$x=\frac{60}{10}$$

Divide 60 by 10 to get 6.

$$x=6$$