Solve (1-65%)x=140

$$(1-65 \% )x=140$$

Solve for x

$$x=400$$

Steps for Solving Linear Equation

Reduce the fraction \frac{65}{100} to lowest terms by extracting and canceling out 5.

$$\left(1-\frac{13}{20}\right)x=140$$

Convert 1 to fraction \frac{20}{20}.

$$\left(\frac{20}{20}-\frac{13}{20}\right)x=140$$

Since \frac{20}{20} and \frac{13}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-13}{20}x=140$$

Subtract 13 from 20 to get 7.

$$\frac{7}{20}x=140$$

Multiply both sides by \frac{20}{7}, the reciprocal of \frac{7}{20}.

$$x=140\times \frac{20}{7}$$

Express 140\times \frac{20}{7} as a single fraction.

$$x=\frac{140\times 20}{7}$$

Multiply 140 and 20 to get 2800.

$$x=\frac{2800}{7}$$

Divide 2800 by 7 to get 400.

$$x=400$$