Question

problem 2: here is an equation: 12x + 9 - 4x + 3 = 17 + 8x - 5 how many solutions does this equation have? no solution one solution infinite solutions show your work/explain your reasoning: 12x + 9 - 4x + 3 = 17 + 8x - 5

Explanation:

Step1: Simplify left side

Combine like terms:
$12x - 4x + 9 + 3 = 8x + 12$

Step2: Simplify right side

Combine like terms:
$17 - 5 + 8x = 8x + 12$

Step3: Compare both sides

Set simplified sides equal:
$8x + 12 = 8x + 12$
Subtract $8x + 12$ from both sides:
$8x + 12 - (8x + 12) = 8x + 12 - (8x + 12)$
$0 = 0$

Answer:

Infinite Solutions