Solve 2x-1/2=8/5

$$2x- \frac{ 1 }{ 2 } = \frac{ 8 }{ 5 }$$

Solve for x

$$x = \frac{21}{20} = 1\frac{1}{20} = 1.05$$

Steps for Solving Linear Equation

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

$$2x=\frac{8}{5}+\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{8}{5} and \frac{1}{2} to fractions with denominator 10.

$$2x=\frac{16}{10}+\frac{5}{10}$$

Since \frac{16}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$2x=\frac{16+5}{10}$$

Add 16 and 5 to get 21.

$$2x=\frac{21}{10}$$

Divide both sides by 2.

$$x=\frac{\frac{21}{10}}{2}$$

Express \frac{\frac{21}{10}}{2} as a single fraction.

$$x=\frac{21}{10\times 2}$$

Multiply 10 and 2 to get 20.

$$x=\frac{21}{20}$$