Solve -3mx-x+4=0

$$- 3 m x - x + 4 = 0$$

Solve for m

$$m=-\frac{1}{3}+\frac{4}{3x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$-3mx+4=x$$

Subtract 4 from both sides.

$$-3mx=x-4$$

The equation is in standard form.

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

Divide both sides by -3x.

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

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

$$m=\frac{x-4}{-3x}$$

Divide x-4 by -3x.

$$m=-\frac{1}{3}+\frac{4}{3x}$$

Solve for x

$$x=\frac{4}{3m+1}$$

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

Steps for Solving Linear Equation

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$-3mx-x=-4$$

Combine all terms containing x.

$$\left(-3m-1\right)x=-4$$

Divide both sides by -3m-1.

$$\frac{\left(-3m-1\right)x}{-3m-1}=-\frac{4}{-3m-1}$$

Dividing by -3m-1 undoes the multiplication by -3m-1.

$$x=-\frac{4}{-3m-1}$$

Divide -4 by -3m-1.

$$x=\frac{4}{3m+1}$$