Solve for x u=kx+yx ; for x

$u = k x + y x$ ; for $x$

Step 1

Rewrite the equation as $k x + y x = u$ .

$k x + y x = u$

Step 2

Factor $x$ out of $k x + y x$ .

Factor $x$ out of $k x$ .

$x k + y x = u$

Factor $x$ out of $y x$ .

$x k + x y = u$

Factor $x$ out of $x k + x y$ .

$x (k + y) = u$

Step 3

Divide each term in $x (k + y) = u$ by $k + y$ and simplify.

Divide each term in $x (k + y) = u$ by $k + y$ .

$\frac{x (k + y)}{k + y} = \frac{u}{k + y}$

Simplify the left side.

Cancel the common factor of $k + y$ .

Cancel the common factor.

$\frac{x (k + y)}{k + y} = \frac{u}{k + y}$

Divide $x$ by $1$ .

$x = \frac{u}{k + y}$