Solve r+6/5=r+8/7

$$\frac { r + 6 } { 5 } = \frac { r + 8 } { 7 }$$

Solve for r

$$r=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 5,7.

$$7\left(r+6\right)=5\left(r+8\right)$$

Use the distributive property to multiply 7 by r+6.

$$7r+42=5\left(r+8\right)$$

Use the distributive property to multiply 5 by r+8.

$$7r+42=5r+40$$

Subtract 5r from both sides.

$$7r+42-5r=40$$

Combine 7r and -5r to get 2r.

$$2r+42=40$$

Subtract 42 from both sides.

$$2r=40-42$$

Subtract 42 from 40 to get -2.

$$2r=-2$$

Divide both sides by 2.

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

Divide -2 by 2 to get -1.

$$r=-1$$