Answer
The value of $\frac{2x}{x-7}-\frac{x+7}{x-7}$ is$1$.
Work Step by Step
$\frac{2x}{x-7}-\frac{x+7}{x-7}$
Here, the denominators are same. So, subtract the two numerators and keep the common denominator.
$\frac{2x}{x-7}-\frac{x+7}{x-7}=\frac{\left( 2x \right)-\left( x+7 \right)}{x-7}$
Group the like terms and simplify the terms further:
$\begin{align}
& \frac{2x}{x-7}-\frac{x+7}{x-7}=\frac{2x-x-7}{x-7} \\
& =\frac{x-7}{x-7} \\
& =1
\end{align}$
