Solve 1/2=x+1/5+x

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

Solve for x

$$x=\frac{3}{20}=0.15$$

Steps for Solving Linear Equation

Combine x and x to get 2x.

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

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

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

Subtract \frac{1}{5} from both sides.

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

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{1}{5} to fractions with denominator 10.

$$2x=\frac{5}{10}-\frac{2}{10}$$

Since \frac{5}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{5-2}{10}$$

Subtract 2 from 5 to get 3.

$$2x=\frac{3}{10}$$

Divide both sides by 2.

$$x=\frac{\frac{3}{10}}{2}$$

Express \frac{\frac{3}{10}}{2} as a single fraction.

$$x=\frac{3}{10\times 2}$$

Multiply 10 and 2 to get 20.

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