Solve 2(x-2/3)=3.2

$$2(x- \frac{ 2 }{ 3 } )=3.2$$

Solve for x

$$x = \frac{34}{15} = 2\frac{4}{15} \approx 2.266666667$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$x-\frac{2}{3}=\frac{3.2}{2}$$

Expand \frac{3.2}{2} by multiplying both numerator and the denominator by 10.

$$x-\frac{2}{3}=\frac{32}{20}$$

Reduce the fraction \frac{32}{20} to lowest terms by extracting and canceling out 4.

$$x-\frac{2}{3}=\frac{8}{5}$$

Add \frac{2}{3} to both sides.

$$x=\frac{8}{5}+\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{8}{5} and \frac{2}{3} to fractions with denominator 15.

$$x=\frac{24}{15}+\frac{10}{15}$$

Since \frac{24}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$x=\frac{24+10}{15}$$

Add 24 and 10 to get 34.

$$x=\frac{34}{15}$$