Find the Excluded Values (x+12)/(2x-5)-(3x-2)/(2x-5)

$\frac{x + 12}{2 x - 5} - \frac{3 x - 2}{2 x - 5}$

Step 1

Set the denominator in $\frac{x + 12}{2 x - 5}$ equal to $0$ to find where the expression is undefined.

$2 x - 5 = 0$

Step 2

Solve for $x$ .

Add $5$ to both sides of the equation.

$2 x = 5$

Divide each term in $2 x = 5$ by $2$ and simplify.

Divide each term in $2 x = 5$ by $2$ .

$\frac{2 x}{2} = \frac{5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{5}{2}$

Divide $x$ by $1$ .

$x = \frac{5}{2}$

Step 3