Solve 2x3/2-(x+1/2)=4/5

$$2 x \frac { 3 } { 2 } - ( x + \frac { 1 } { 2 } ) = \frac { 4 } { 5 }$$

Solve for x

$$x=\frac{13}{20}=0.65$$

Steps for Solving Linear Equation

Cancel out 2 and 2.

$$3x-\left(x+\frac{1}{2}\right)=\frac{4}{5}$$

To find the opposite of x+\frac{1}{2}, find the opposite of each term.

$$3x-x-\frac{1}{2}=\frac{4}{5}$$

Combine 3x and -x to get 2x.

$$2x-\frac{1}{2}=\frac{4}{5}$$

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

$$2x=\frac{4}{5}+\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.

$$2x=\frac{8}{10}+\frac{5}{10}$$

Since \frac{8}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$2x=\frac{8+5}{10}$$

Add 8 and 5 to get 13.

$$2x=\frac{13}{10}$$

Divide both sides by 2.

$$x=\frac{\frac{13}{10}}{2}$$

Express \frac{\frac{13}{10}}{2} as a single fraction.

$$x=\frac{13}{10\times 2}$$

Multiply 10 and 2 to get 20.

$$x=\frac{13}{20}$$