Solve 12=2/3x-2

$$12= \frac{ 2 }{ 3 } x-2$$

Solve for x

$$x=21$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{2}{3}x-2=12$$

Add 2 to both sides.

$$\frac{2}{3}x=12+2$$

Add 12 and 2 to get 14.

$$\frac{2}{3}x=14$$

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

$$x=14\times \frac{3}{2}$$

Express 14\times \frac{3}{2} as a single fraction.

$$x=\frac{14\times 3}{2}$$

Multiply 14 and 3 to get 42.

$$x=\frac{42}{2}$$

Divide 42 by 2 to get 21.

$$x=21$$