Solve 2x-4/5=7/20

$$2 x - \frac { 4 } { 5 } = \frac { 7 } { 20 }$$

Solve for x

$$x=\frac{23}{40}=0.575$$

Steps for Solving Linear Equation

Add \frac{4}{5} to both sides.

$$2x=\frac{7}{20}+\frac{4}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{7}{20} and \frac{4}{5} to fractions with denominator 20.

$$2x=\frac{7}{20}+\frac{16}{20}$$

Since \frac{7}{20} and \frac{16}{20} have the same denominator, add them by adding their numerators.

$$2x=\frac{7+16}{20}$$

Add 7 and 16 to get 23.

$$2x=\frac{23}{20}$$

Divide both sides by 2.

$$x=\frac{\frac{23}{20}}{2}$$

Express \frac{\frac{23}{20}}{2} as a single fraction.

$$x=\frac{23}{20\times 2}$$

Multiply 20 and 2 to get 40.

$$x=\frac{23}{40}$$