Solve for x k(x)=6x+100

$k (x) = 6 x + 100$

Step 1

Subtract $6 x$ from both sides of the equation.

$k x - 6 x = 100$

Step 2

Factor $x$ out of $k x - 6 x$ .

Factor $x$ out of $k x$ .

$x k - 6 x = 100$

Factor $x$ out of $- 6 x$ .

$x k + x \cdot - 6 = 100$

Factor $x$ out of $x k + x \cdot - 6$ .

$x (k - 6) = 100$

Step 3

Divide each term in $x (k - 6) = 100$ by $k - 6$ and simplify.

Divide each term in $x (k - 6) = 100$ by $k - 6$ .

$\frac{x (k - 6)}{k - 6} = \frac{100}{k - 6}$

Simplify the left side.

Cancel the common factor of $k - 6$ .

Cancel the common factor.

$\frac{x (k - 6)}{k - 6} = \frac{100}{k - 6}$

Divide $x$ by $1$ .

$x = \frac{100}{k - 6}$