Solve 2/3(x+1/2)=5/3?

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x+\frac{1}{2}=\frac{5}{3}\times \frac{3}{2}$$

Multiply \frac{5}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x+\frac{1}{2}=\frac{5\times 3}{3\times 2}$$

Cancel out 3 in both numerator and denominator.

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

Subtract \frac{1}{2} from both sides.

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

Since \frac{5}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 5 to get 4.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$