Question

how many solutions does this equation have?
$2 - 10s = -3s - 8s - 8$
no solution
one solution
infinitely many solutions

Explanation:

Step1: Combine like terms on right

$2 - 10s = (-3s - 8s) - 8$
$2 - 10s = -11s - 8$

Step2: Add $11s$ to both sides

$2 - 10s + 11s = -11s - 8 + 11s$
$2 + s = -8$

Step3: Subtract 2 from both sides

$2 + s - 2 = -8 - 2$
$s = -10$

Answer:

one solution