Answer
10
Work Step by Step
$\frac{5(x+2)}{2x-14}$ for $x=10$
substitute 10 for each x
$=\frac{5(10+2)}{2\times10-14}$
complete any grouped operations first - remember that the numerator and denominator of a fraction are each considered grouped
$=\frac{5\times12}{20-14}$
within each group, first complete multiplication and division in order left to right, then addition and subtraction left to right
$=\frac{60}{6}$
finish with division - fractions mean divide the numerator by the denominator
$=10$