Solve 1/2-xm=pi/3m

$$\frac { 1 } { 2 } - x m = \frac { \pi } { 3 } m$$

Solve for m

$$m=\frac{3}{2\left(3x+\pi \right)}$$

$$x\neq -\frac{\pi }{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3-6xm=2\pi m$$

Subtract 2\pi m from both sides.

$$3-6xm-2\pi m=0$$

Subtract 3 from both sides. Anything subtracted from zero gives its negation.

$$-6xm-2\pi m=-3$$

Combine all terms containing m.

$$\left(-6x-2\pi \right)m=-3$$

Divide both sides by -6x-2\pi .

$$\frac{\left(-6x-2\pi \right)m}{-6x-2\pi }=-\frac{3}{-6x-2\pi }$$

Dividing by -6x-2\pi undoes the multiplication by -6x-2\pi .

$$m=-\frac{3}{-6x-2\pi }$$

Divide -3 by -6x-2\pi .

$$m=\frac{3}{2\left(3x+\pi \right)}$$

Solve for x

$$x=-\frac{\pi }{3}+\frac{1}{2m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3-6xm=2\pi m$$

Subtract 3 from both sides.

$$-6xm=2\pi m-3$$

The equation is in standard form.

$$\left(-6m\right)x=2\pi m-3$$

Divide both sides by -6m.

$$\frac{\left(-6m\right)x}{-6m}=\frac{2\pi m-3}{-6m}$$

Dividing by -6m undoes the multiplication by -6m.

$$x=\frac{2\pi m-3}{-6m}$$

Divide 2\pi m-3 by -6m.

$$x=-\frac{\pi }{3}+\frac{1}{2m}$$