Solve 35%x+75%x-50%=18-13.5

$$35 \% x+75 \% x-50 \% =18-13.5$$

Solve for x

$$x = \frac{50}{11} = 4\frac{6}{11} \approx 4.545454545$$

Steps for Solving Linear Equation

Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\frac{7}{20}x+\frac{75}{100}x-\frac{50}{100}=18-13.5$$

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{20}x+\frac{3}{4}x-\frac{50}{100}=18-13.5$$

Combine \frac{7}{20}x and \frac{3}{4}x to get \frac{11}{10}x.

$$\frac{11}{10}x-\frac{50}{100}=18-13.5$$

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$\frac{11}{10}x-\frac{1}{2}=18-13.5$$

Subtract 13.5 from 18 to get 4.5.

$$\frac{11}{10}x-\frac{1}{2}=4.5$$

Add \frac{1}{2} to both sides.

$$\frac{11}{10}x=4.5+\frac{1}{2}$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{11}{10}x=\frac{9}{2}+\frac{1}{2}$$

Since \frac{9}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{11}{10}x=\frac{9+1}{2}$$

Add 9 and 1 to get 10.

$$\frac{11}{10}x=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$\frac{11}{10}x=5$$

Multiply both sides by \frac{10}{11}, the reciprocal of \frac{11}{10}.

$$x=5\times \frac{10}{11}$$

Express 5\times \frac{10}{11} as a single fraction.

$$x=\frac{5\times 10}{11}$$

Multiply 5 and 10 to get 50.

$$x=\frac{50}{11}$$