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Question

# Add or subtract. Identify any x-values for which the expression is undefined.$\frac { 3 x + 2 } { x - 2 } - \frac { x + 5 } { x - 2 }$

Solution

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Step 1
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Notice that two given fractions have the same denominator, so just subtract numerators:

\begin{align*}\dfrac{3x+2-(x+5)}{x-2}&=\dfrac{3x+2-x-5}{x-2}\tag{Distribute negative sign}\\ &=\boxed{\dfrac{2x-3}{x-2}}\tag{Simplify} \end{align*}

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