Solve 11.00%x+15.00%(x+900)=213

$$11.00 \% x + 15.00 \% ( x + 900 ) = 213$$

Solve for x

$$x=300$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{11}{100}x+\frac{3}{20}\left(x+900\right)=213$$

Use the distributive property to multiply \frac{3}{20} by x+900.

$$\frac{11}{100}x+\frac{3}{20}x+\frac{3}{20}\times 900=213$$

Express \frac{3}{20}\times 900 as a single fraction.

$$\frac{11}{100}x+\frac{3}{20}x+\frac{3\times 900}{20}=213$$

Multiply 3 and 900 to get 2700.

$$\frac{11}{100}x+\frac{3}{20}x+\frac{2700}{20}=213$$

Divide 2700 by 20 to get 135.

$$\frac{11}{100}x+\frac{3}{20}x+135=213$$

Combine \frac{11}{100}x and \frac{3}{20}x to get \frac{13}{50}x.

$$\frac{13}{50}x+135=213$$

Subtract 135 from both sides.

$$\frac{13}{50}x=213-135$$

Subtract 135 from 213 to get 78.

$$\frac{13}{50}x=78$$

Multiply both sides by \frac{50}{13}, the reciprocal of \frac{13}{50}.

$$x=78\times \frac{50}{13}$$

Express 78\times \frac{50}{13} as a single fraction.

$$x=\frac{78\times 50}{13}$$

Multiply 78 and 50 to get 3900.

$$x=\frac{3900}{13}$$

Divide 3900 by 13 to get 300.

$$x=300$$