Solve 2/3x-2/3=3

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

Solve for x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps for Solving Linear Equation

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

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

Convert 3 to fraction \frac{9}{3}.

$$\frac{2}{3}x=\frac{9}{3}+\frac{2}{3}$$

Since \frac{9}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{2}{3}x=\frac{9+2}{3}$$

Add 9 and 2 to get 11.

$$\frac{2}{3}x=\frac{11}{3}$$

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

$$x=\frac{11}{3}\times \frac{3}{2}$$

Multiply \frac{11}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 3}{3\times 2}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{11}{2}$$