Solve 3-3x_{2}=2m+2/m

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

Solve for m

$$m=\frac{2}{1-3x_{2}}$$

$$x_{2}\neq \frac{1}{3}$$

Steps for Solving Linear Equation

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by m.

$$m\times 3-3x_{2}m=2m+2$$

Subtract 2m from both sides.

$$m\times 3-3x_{2}m-2m=2$$

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

$$m-3x_{2}m=2$$

Combine all terms containing m.

$$\left(1-3x_{2}\right)m=2$$

Divide both sides by -3x_{2}+1.

$$\frac{\left(1-3x_{2}\right)m}{1-3x_{2}}=\frac{2}{1-3x_{2}}$$

Dividing by -3x_{2}+1 undoes the multiplication by -3x_{2}+1.

$$m=\frac{2}{1-3x_{2}}$$

Variable m cannot be equal to 0.

$$m=\frac{2}{1-3x_{2}}\text{, }m\neq 0$$

Solve for x_2

$$x_{2}=\frac{1}{3}-\frac{2}{3m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by m.

$$m\times 3-3x_{2}m=2m+2$$

Subtract m\times 3 from both sides.

$$-3x_{2}m=2m+2-m\times 3$$

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

$$-3x_{2}m=-m+2$$

The equation is in standard form.

$$\left(-3m\right)x_{2}=2-m$$

Divide both sides by -3m.

$$\frac{\left(-3m\right)x_{2}}{-3m}=\frac{2-m}{-3m}$$

Dividing by -3m undoes the multiplication by -3m.

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

Divide -m+2 by -3m.

$$x_{2}=\frac{1}{3}-\frac{2}{3m}$$