Question

tell whether the equation has one solution, no solution, or an infinite number of solutions.
8 + 2(x - 6) = -2 + 2x - 2
answer:
one solution
no solution
infinite number of solutions

Explanation:

Step1: Expand left-hand side

$8 + 2(x - 6) = 8 + 2x - 12 = 2x - 4$

Step2: Simplify right-hand side

$-2 + 2x - 2 = 2x - 4$

Step3: Compare both sides

Both sides simplify to $2x - 4$, so the equation is true for all $x$.

Answer:

infinite number of solutions