Solve (4-m)x-m/3=0

$$( 4 - m ) x - \frac { m } { 3 } = 0$$

Solve for x

$$x=\frac{m}{3\left(4-m\right)}$$

$$m\neq 4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3\left(4-m\right)x-m=0$$

Use the distributive property to multiply 3 by 4-m.

$$\left(12-3m\right)x-m=0$$

Use the distributive property to multiply 12-3m by x.

$$12x-3mx-m=0$$

Add m to both sides. Anything plus zero gives itself.

$$12x-3mx=m$$

Combine all terms containing x.

$$\left(12-3m\right)x=m$$

Divide both sides by 12-3m.

$$\frac{\left(12-3m\right)x}{12-3m}=\frac{m}{12-3m}$$

Dividing by 12-3m undoes the multiplication by 12-3m.

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

Divide m by 12-3m.

$$x=\frac{m}{3\left(4-m\right)}$$

Solve for m

$$m=\frac{12x}{3x+1}$$

$$x\neq -\frac{1}{3}$$