Solve 2/3x-1/3=3

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Add \frac{1}{3} to both sides.

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

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

$$\frac{2}{3}x=\frac{9}{3}+\frac{1}{3}$$

Since \frac{9}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{2}{3}x=\frac{9+1}{3}$$

Add 9 and 1 to get 10.

$$\frac{2}{3}x=\frac{10}{3}$$

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

$$x=\frac{10}{3}\times \frac{3}{2}$$

Multiply \frac{10}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{10\times 3}{3\times 2}$$

Cancel out 3 in both numerator and denominator.

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

Divide 10 by 2 to get 5.

$$x=5$$