Solve 115%x-90%(x-500)=950

$$115 \% x-90 \% (x-500)=950$$

Solve for x

$$x=2000$$

Steps for Solving Linear Equation

Reduce the fraction \frac{115}{100} to lowest terms by extracting and canceling out 5.

$$\frac{23}{20}x-\frac{90}{100}\left(x-500\right)=950$$

Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.

$$\frac{23}{20}x-\frac{9}{10}\left(x-500\right)=950$$

Use the distributive property to multiply -\frac{9}{10} by x-500.

$$\frac{23}{20}x-\frac{9}{10}x-\frac{9}{10}\left(-500\right)=950$$

Express -\frac{9}{10}\left(-500\right) as a single fraction.

$$\frac{23}{20}x-\frac{9}{10}x+\frac{-9\left(-500\right)}{10}=950$$

Multiply -9 and -500 to get 4500.

$$\frac{23}{20}x-\frac{9}{10}x+\frac{4500}{10}=950$$

Divide 4500 by 10 to get 450.

$$\frac{23}{20}x-\frac{9}{10}x+450=950$$

Combine \frac{23}{20}x and -\frac{9}{10}x to get \frac{1}{4}x.

$$\frac{1}{4}x+450=950$$

Subtract 450 from both sides.

$$\frac{1}{4}x=950-450$$

Subtract 450 from 950 to get 500.

$$\frac{1}{4}x=500$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$x=500\times 4$$

Multiply 500 and 4 to get 2000.

$$x=2000$$