Solve 2xm+4x=5

$$2 x m + 4 x = 5$$

Solve for m

$$m=-2+\frac{5}{2x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$2xm=5-4x$$

Divide both sides by 2x.

$$\frac{2xm}{2x}=\frac{5-4x}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$m=\frac{5-4x}{2x}$$

Divide 5-4x by 2x.

$$m=-2+\frac{5}{2x}$$

Solve for x

$$x=\frac{5}{2\left(m+2\right)}$$

$$m\neq -2$$

Steps for Solving Linear Equation

Combine all terms containing x.

$$\left(2m+4\right)x=5$$

Divide both sides by 2m+4.

$$\frac{\left(2m+4\right)x}{2m+4}=\frac{5}{2m+4}$$

Dividing by 2m+4 undoes the multiplication by 2m+4.

$$x=\frac{5}{2m+4}$$

Divide 5 by 2m+4.

$$x=\frac{5}{2\left(m+2\right)}$$