Solve x*(1-20%)-x*(1-25%)=80

$$x \times (1-20 \% )-x \times (1-25 \% )=80$$

Solve for x

$$x=1600$$

Steps for Solving Linear Equation

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

$$x\left(1-\frac{1}{5}\right)-x\left(1-\frac{25}{100}\right)=80$$

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

$$x\left(\frac{5}{5}-\frac{1}{5}\right)-x\left(1-\frac{25}{100}\right)=80$$

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

$$x\times \frac{5-1}{5}-x\left(1-\frac{25}{100}\right)=80$$

Subtract 1 from 5 to get 4.

$$x\times \frac{4}{5}-x\left(1-\frac{25}{100}\right)=80$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$x\times \frac{4}{5}-x\left(1-\frac{1}{4}\right)=80$$

Convert 1 to fraction \frac{4}{4}.

$$x\times \frac{4}{5}-x\left(\frac{4}{4}-\frac{1}{4}\right)=80$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{4}{5}-x\times \frac{4-1}{4}=80$$

Subtract 1 from 4 to get 3.

$$x\times \frac{4}{5}-x\times \frac{3}{4}=80$$

Combine x\times \frac{4}{5} and -x\times \frac{3}{4} to get \frac{1}{20}x.

$$\frac{1}{20}x=80$$

Multiply both sides by 20, the reciprocal of \frac{1}{20}.

$$x=80\times 20$$

Multiply 80 and 20 to get 1600.

$$x=1600$$