Solve 810/x-600/(1-10%)x=20

$$\frac { 810 } { x } - \frac { 600 } { ( 1 - 10 \% ) x } = 20$$

Solve for x

$$x = \frac{43}{6} = 7\frac{1}{6} \approx 7.166666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$810-\frac{10}{9}\times 600=20x$$

Multiply -\frac{10}{9} and 600 to get -\frac{2000}{3}.

$$810-\frac{2000}{3}=20x$$

Subtract \frac{2000}{3} from 810 to get \frac{430}{3}.

$$\frac{430}{3}=20x$$

Swap sides so that all variable terms are on the left hand side.

$$20x=\frac{430}{3}$$

Divide both sides by 20.

$$x=\frac{\frac{430}{3}}{20}$$

Express \frac{\frac{430}{3}}{20} as a single fraction.

$$x=\frac{430}{3\times 20}$$

Multiply 3 and 20 to get 60.

$$x=\frac{430}{60}$$

Reduce the fraction \frac{430}{60} to lowest terms by extracting and canceling out 10.

$$x=\frac{43}{6}$$