Answer
Conditional equation.
The solution set is {$0$}.
Work Step by Step
Step 1: $-8(x+5)=-8x-5(x+8)$
Step 2: $-8x-40=-8x-5x-40$
Step 3: Adding $8x$ to both sides, $-8x+8x-40=-8x+8x-5x-40$
Step 4: $-40=-5x-40$
Step 5: Adding $40$ to both sides, $-40+40=-5x-40+40$
Step 6: $0=-5x$
Step 7: Dividing both sides by $-5$,
$\frac{0}{-5}=\frac{-5x}{-5}$
Step 8: Therefore, $x=0$
As the equation is satisfied by x=0, it is a conditional equation.
The solution set is {$0$}.
