Solve 80%x-50%x=9.3

$$80 \% x - 50 \% x = 9.3$$

Solve for x

$$x=31$$

Steps for Solving Linear Equation

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{4}{5}x-\frac{50}{100}x=9.3$$

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$\frac{4}{5}x-\frac{1}{2}x=9.3$$

Combine \frac{4}{5}x and -\frac{1}{2}x to get \frac{3}{10}x.

$$\frac{3}{10}x=9.3$$

Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.

$$x=9.3\times \frac{10}{3}$$

Convert decimal number 9.3 to fraction \frac{93}{10}.

$$x=\frac{93}{10}\times \frac{10}{3}$$

Multiply \frac{93}{10} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{93\times 10}{10\times 3}$$

Cancel out 10 in both numerator and denominator.

$$x=\frac{93}{3}$$

Divide 93 by 3 to get 31.

$$x=31$$