Solve 2r+12/8=2r-24/2

$$\frac { 2 r + 12 } { 8 } = \frac { 2 r - 24 } { 2 }$$

Solve for r

$$r=18$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 8,2.

$$2r+12=4\left(2r-24\right)$$

Use the distributive property to multiply 4 by 2r-24.

$$2r+12=8r-96$$

Subtract 8r from both sides.

$$2r+12-8r=-96$$

Combine 2r and -8r to get -6r.

$$-6r+12=-96$$

Subtract 12 from both sides.

$$-6r=-96-12$$

Subtract 12 from -96 to get -108.

$$-6r=-108$$

Divide both sides by -6.

$$r=\frac{-108}{-6}$$

Divide -108 by -6 to get 18.

$$r=18$$