Solve 55.00%x+15.00%(2000-x)=20.00%*2000

$$55.00 \% x + 15.00 \% ( 2000 - x ) = 20.00 \% \times 2000$$

Solve for x

$$x=250$$

Steps for Solving Linear Equation

Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.

$$\frac{11}{20}x+\frac{15}{100}\left(2000-x\right)=\frac{20}{100}\times 2000$$

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

$$\frac{11}{20}x+\frac{3}{20}\left(2000-x\right)=\frac{20}{100}\times 2000$$

Use the distributive property to multiply \frac{3}{20} by 2000-x.

$$\frac{11}{20}x+\frac{3}{20}\times 2000+\frac{3}{20}\left(-1\right)x=\frac{20}{100}\times 2000$$

Express \frac{3}{20}\times 2000 as a single fraction.

$$\frac{11}{20}x+\frac{3\times 2000}{20}+\frac{3}{20}\left(-1\right)x=\frac{20}{100}\times 2000$$

Multiply 3 and 2000 to get 6000.

$$\frac{11}{20}x+\frac{6000}{20}+\frac{3}{20}\left(-1\right)x=\frac{20}{100}\times 2000$$

Divide 6000 by 20 to get 300.

$$\frac{11}{20}x+300+\frac{3}{20}\left(-1\right)x=\frac{20}{100}\times 2000$$

Multiply \frac{3}{20} and -1 to get -\frac{3}{20}.

$$\frac{11}{20}x+300-\frac{3}{20}x=\frac{20}{100}\times 2000$$

Combine \frac{11}{20}x and -\frac{3}{20}x to get \frac{2}{5}x.

$$\frac{2}{5}x+300=\frac{20}{100}\times 2000$$

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

$$\frac{2}{5}x+300=\frac{1}{5}\times 2000$$

Multiply \frac{1}{5} and 2000 to get \frac{2000}{5}.

$$\frac{2}{5}x+300=\frac{2000}{5}$$

Divide 2000 by 5 to get 400.

$$\frac{2}{5}x+300=400$$

Subtract 300 from both sides.

$$\frac{2}{5}x=400-300$$

Subtract 300 from 400 to get 100.

$$\frac{2}{5}x=100$$

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

$$x=100\times \frac{5}{2}$$

Express 100\times \frac{5}{2} as a single fraction.

$$x=\frac{100\times 5}{2}$$

Multiply 100 and 5 to get 500.

$$x=\frac{500}{2}$$

Divide 500 by 2 to get 250.

$$x=250$$