Answer
$3-4i$
Work Step by Step
(Recall, we must distribute the negative to everything in the second set of parenthesis.)
Adding the real terms together and the imaginary terms together, we obtain:
$(-5+3i)-(-8+7i)$
=$-5+3i+8-7i$
=$(-5+8)+(3i-7i)$
=$3-4i$