Solve 5(1/10-x)+20x=1

$$5( \frac{ 1 }{ 10 } -x)+20x=1$$

Solve for x

$$x=\frac{1}{30}\approx 0.033333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by \frac{1}{10}-x.

$$5\times \frac{1}{10}-5x+20x=1$$

Multiply 5 and \frac{1}{10} to get \frac{5}{10}.

$$\frac{5}{10}-5x+20x=1$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}-5x+20x=1$$

Combine -5x and 20x to get 15x.

$$\frac{1}{2}+15x=1$$

Subtract \frac{1}{2} from both sides.

$$15x=1-\frac{1}{2}$$

Convert 1 to fraction \frac{2}{2}.

$$15x=\frac{2}{2}-\frac{1}{2}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$15x=\frac{2-1}{2}$$

Subtract 1 from 2 to get 1.

$$15x=\frac{1}{2}$$

Divide both sides by 15.

$$x=\frac{\frac{1}{2}}{15}$$

Express \frac{\frac{1}{2}}{15} as a single fraction.

$$x=\frac{1}{2\times 15}$$

Multiply 2 and 15 to get 30.

$$x=\frac{1}{30}$$