Solve 8-3=2/3r-3

$$8 - 3 = \frac { 2 } { 3 } r - 3$$

Solve for r

$$r=12$$

Steps for Solving Linear Equation

Subtract 3 from 8 to get 5.

$$5=\frac{2}{3}r-3$$

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

$$\frac{2}{3}r-3=5$$

Add 3 to both sides.

$$\frac{2}{3}r=5+3$$

Add 5 and 3 to get 8.

$$\frac{2}{3}r=8$$

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

$$r=8\times \frac{3}{2}$$

Express 8\times \frac{3}{2} as a single fraction.

$$r=\frac{8\times 3}{2}$$

Multiply 8 and 3 to get 24.

$$r=\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$r=12$$