Solve for x F=kx-kx_0

$F = k x - k x_{0}$

Rewrite the equation as $k x - k x_{0} = F$ .

$k x - k x_{0} = F$

Add $k x_{0}$ to both sides of the equation.

$k x = F + k x_{0}$

Divide each term in $k x = F + k x_{0}$ by $k$ and simplify.

Divide each term in $k x = F + k x_{0}$ by $k$ .

$\frac{k x}{k} = \frac{F}{k} + \frac{k x_{0}}{k}$

Simplify the left side.

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{k x}{k} = \frac{F}{k} + \frac{k x_{0}}{k}$

Divide $x$ by $1$ .

$x = \frac{F}{k} + \frac{k x_{0}}{k}$

Simplify the right side.

Cancel the common factor of $k$ .

Cancel the common factor.

$x = \frac{F}{k} + \frac{k x_{0}}{k}$

Divide $x_{0}$ by $1$ .

$x = \frac{F}{k} + x_{0}$