Question

how many solutions does this equation have?
$-17h + 12h - 8 = -5h - 8$
no solution
one solution
infinitely many solutions

Explanation:

Step1: Combine like terms on left

$-17h + 12h - 8 = -5h - 8$
$\implies -5h - 8 = -5h - 8$

Step2: Subtract $-5h$ from both sides

$-5h - 8 + 5h = -5h - 8 + 5h$
$\implies -8 = -8$

Answer:

infinitely many solutions