Solve (2)x-1/2=1/10

$$( 2 ) x - \frac { 1 } { 2 } = \frac { 1 } { 10 }$$

Solve for x

$$x=\frac{3}{10}=0.3$$

Steps for Solving Linear Equation

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

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

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

$$2x=\frac{1}{10}+\frac{5}{10}$$

Since \frac{1}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$2x=\frac{1+5}{10}$$

Add 1 and 5 to get 6.

$$2x=\frac{6}{10}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$2x=\frac{3}{5}$$

Divide both sides by 2.

$$x=\frac{\frac{3}{5}}{2}$$

Express \frac{\frac{3}{5}}{2} as a single fraction.

$$x=\frac{3}{5\times 2}$$

Multiply 5 and 2 to get 10.

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