Solve x-13Vx+40=0

$$x - 13 V x + 40 = 0$$

Solve for V

$$V=\frac{1}{13}+\frac{40}{13x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$-13Vx+40=-x$$

Subtract 40 from both sides.

$$-13Vx=-x-40$$

The equation is in standard form.

$$\left(-13x\right)V=-x-40$$

Divide both sides by -13x.

$$\frac{\left(-13x\right)V}{-13x}=\frac{-x-40}{-13x}$$

Dividing by -13x undoes the multiplication by -13x.

$$V=\frac{-x-40}{-13x}$$

Divide -x-40 by -13x.

$$V=\frac{1}{13}+\frac{40}{13x}$$

Solve for x

$$x=-\frac{40}{1-13V}$$

$$V\neq \frac{1}{13}$$

Steps for Solving Linear Equation

Subtract 40 from both sides. Anything subtracted from zero gives its negation.

$$x-13Vx=-40$$

Combine all terms containing x.

$$\left(1-13V\right)x=-40$$

Divide both sides by 1-13V.

$$\frac{\left(1-13V\right)x}{1-13V}=-\frac{40}{1-13V}$$

Dividing by 1-13V undoes the multiplication by 1-13V.

$$x=-\frac{40}{1-13V}$$