Solve mx=-2x+4

$$m x = - 2 x + 4$$

Solve for m

$$m=-2+\frac{4}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xm=4-2x$$

Divide both sides by x.

$$\frac{xm}{x}=\frac{4-2x}{x}$$

Dividing by x undoes the multiplication by x.

$$m=\frac{4-2x}{x}$$

Divide -2x+4 by x.

$$m=-2+\frac{4}{x}$$

Solve for x

$$x=\frac{4}{m+2}$$

$$m\neq -2$$

Steps for Solving Linear Equation

Add 2x to both sides.

$$mx+2x=4$$

Combine all terms containing x.

$$\left(m+2\right)x=4$$

Divide both sides by m+2.

$$\frac{\left(m+2\right)x}{m+2}=\frac{4}{m+2}$$

Dividing by m+2 undoes the multiplication by m+2.

$$x=\frac{4}{m+2}$$