Solve m/x-1/m=2/m

$$\frac { m } { x } - \frac { 1 } { m } = \frac { 2 } { m }$$

Solve for x

$$x=\frac{m^{2}}{3}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by mx, the least common multiple of x,m.

$$mm-x=x\times 2$$

Multiply m and m to get m^{2}.

$$m^{2}-x=x\times 2$$

Subtract x\times 2 from both sides.

$$m^{2}-x-x\times 2=0$$

Multiply -1 and 2 to get -2.

$$m^{2}-x-2x=0$$

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

$$m^{2}-3x=0$$

Subtract m^{2} from both sides. Anything subtracted from zero gives its negation.

$$-3x=-m^{2}$$

Divide both sides by -3.

$$\frac{-3x}{-3}=-\frac{m^{2}}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=-\frac{m^{2}}{-3}$$

Divide -m^{2} by -3.

$$x=\frac{m^{2}}{3}$$

Variable x cannot be equal to 0.

$$x=\frac{m^{2}}{3}\text{, }x\neq 0$$

Solve for m (complex solution)

$$m=-\sqrt{3x}$$

$$m=\sqrt{3x}\text{, }x\neq 0$$

Solve for m

$$m=\sqrt{3x}$$

$$m=-\sqrt{3x}\text{, }x>0$$