Solve 2r+8/4=3r-6/3

$$\frac { 2 r + 8 } { 4 } = \frac { 3 r - 6 } { 3 }$$

Solve for r

$$r=8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(2r+8\right)=4\left(3r-6\right)$$

Use the distributive property to multiply 3 by 2r+8.

$$6r+24=4\left(3r-6\right)$$

Use the distributive property to multiply 4 by 3r-6.

$$6r+24=12r-24$$

Subtract 12r from both sides.

$$6r+24-12r=-24$$

Combine 6r and -12r to get -6r.

$$-6r+24=-24$$

Subtract 24 from both sides.

$$-6r=-24-24$$

Subtract 24 from -24 to get -48.

$$-6r=-48$$

Divide both sides by -6.

$$r=\frac{-48}{-6}$$

Divide -48 by -6 to get 8.

$$r=8$$