Solve wx+4=3x-w

$$w x + 4 = 3 x - w$$

Solve for w

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

$$x\neq -1$$

Steps for Solving Linear Equation

Add w to both sides.

$$wx+4+w=3x$$

Subtract 4 from both sides.

$$wx+w=3x-4$$

Combine all terms containing w.

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

Divide both sides by x+1.

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

Dividing by x+1 undoes the multiplication by x+1.

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

Solve for x

$$x=-\frac{w+4}{w-3}$$

$$w\neq 3$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$wx+4-3x=-w$$

Subtract 4 from both sides.

$$wx-3x=-w-4$$

Combine all terms containing x.

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

Divide both sides by w-3.

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

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

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

Divide -w-4 by w-3.

$$x=-\frac{w+4}{w-3}$$