Find the Excluded Values (2x-7)/(x-2)+(8x)/(3x-6)

$\frac{2 x - 7}{x - 2} + \frac{8 x}{3 x - 6}$

Set the denominator in $\frac{2 x - 7}{x - 2}$ equal to $0$ to find where the expression is undefined.

$x - 2 = 0$

Add $2$ to both sides of the equation.

$x = 2$

Set the denominator in $\frac{8 x}{3 x - 6}$ equal to $0$ to find where the expression is undefined.

$3 x - 6 = 0$

Solve for $x$ .

Add $6$ to both sides of the equation.

$3 x = 6$

Divide each term in $3 x = 6$ by $3$ and simplify.

Divide each term in $3 x = 6$ by $3$ .

$\frac{3 x}{3} = \frac{6}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{6}{3}$

Divide $x$ by $1$ .

$x = \frac{6}{3}$

Simplify the right side.

Divide $6$ by $3$ .

$x = 2$