Solve 3-m/m+2=2

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

Solve for m

$$m=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Variable m cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by m+2.

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

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

$$3-m=2m+4$$

Subtract 2m from both sides.

$$3-m-2m=4$$

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

$$3-3m=4$$

Subtract 3 from both sides.

$$-3m=4-3$$

Subtract 3 from 4 to get 1.

$$-3m=1$$

Divide both sides by -3.

$$m=\frac{1}{-3}$$

Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$m=-\frac{1}{3}$$