Solve for x kx-17=51+x

$k x - 17 = 51 + x$

Step 1

Subtract $x$ from both sides of the equation.

$k x - 17 - x = 51$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Add $17$ to both sides of the equation.

$k x - x = 51 + 17$

Add $51$ and $17$ .

$k x - x = 68$

Step 3

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

Factor $x$ out of $k x$ .

$x k - x = 68$

Factor $x$ out of $- x$ .

$x k + x \cdot - 1 = 68$

Factor $x$ out of $x k + x \cdot - 1$ .

$x (k - 1) = 68$

Step 4

Divide each term in $x (k - 1) = 68$ by $k - 1$ and simplify.

Divide each term in $x (k - 1) = 68$ by $k - 1$ .

$\frac{x (k - 1)}{k - 1} = \frac{68}{k - 1}$

Simplify the left side.

Cancel the common factor of $k - 1$ .

Cancel the common factor.

$\frac{x (k - 1)}{k - 1} = \frac{68}{k - 1}$

Divide $x$ by $1$ .

$x = \frac{68}{k - 1}$