Find Where Undefined/Discontinuous (5-x)/(2x-10)

$\frac{5 - x}{2 x - 10}$

Step 1

Set the denominator in $\frac{5 - x}{2 x - 10}$ equal to $0$ to find where the expression is undefined.

$2 x - 10 = 0$

Step 2

Solve for $x$ .

Add $10$ to both sides of the equation.

$2 x = 10$

Divide each term in $2 x = 10$ by $2$ and simplify.

Divide each term in $2 x = 10$ by $2$ .

$\frac{2 x}{2} = \frac{10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{10}{2}$

Divide $x$ by $1$ .

$x = \frac{10}{2}$

Simplify the right side.

Divide $10$ by $2$ .

$x = 5$

Step 3