Solve 75(1+40%)x-100x=58500

$$75(1+40 \% )x-100x=58500$$

Solve for x

$$x=11700$$

Steps for Solving Linear Equation

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$75\left(1+\frac{2}{5}\right)x-100x=58500$$

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

$$75\left(\frac{5}{5}+\frac{2}{5}\right)x-100x=58500$$

Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$75\times \frac{5+2}{5}x-100x=58500$$

Add 5 and 2 to get 7.

$$75\times \frac{7}{5}x-100x=58500$$

Express 75\times \frac{7}{5} as a single fraction.

$$\frac{75\times 7}{5}x-100x=58500$$

Multiply 75 and 7 to get 525.

$$\frac{525}{5}x-100x=58500$$

Divide 525 by 5 to get 105.

$$105x-100x=58500$$

Combine 105x and -100x to get 5x.

$$5x=58500$$

Divide both sides by 5.

$$x=\frac{58500}{5}$$

Divide 58500 by 5 to get 11700.

$$x=11700$$