Solve 2-3/m+3=5m+15/m+3

$$2 - \frac { 3 } { m + 3 } = \frac { 5 m + 15 } { m + 3 }$$

Solve for m

$$m=-4$$

Steps for Solving Linear Equation

Variable m cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by m+3.

$$\left(m+3\right)\times 2-3=5m+15$$

Use the distributive property to multiply m+3 by 2.

$$2m+6-3=5m+15$$

Subtract 3 from 6 to get 3.

$$2m+3=5m+15$$

Subtract 5m from both sides.

$$2m+3-5m=15$$

Combine 2m and -5m to get -3m.

$$-3m+3=15$$

Subtract 3 from both sides.

$$-3m=15-3$$

Subtract 3 from 15 to get 12.

$$-3m=12$$

Divide both sides by -3.

$$m=\frac{12}{-3}$$

Divide 12 by -3 to get -4.

$$m=-4$$