Question

How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) - 2

Answer 1

the answer is:

D. infinitely many

Explanation:

Answer 2

Infinite

Explanation:

3(4x + 1) - 2

= 12x + 3 - 2 (Multiply the sum in the bracket by 3)

= 12x + 1 (Simplify)

This means that:

12x + 1 = 3(4x + 1) - 2

is the same as

12x + 1 = 12x + 1

Hence, anything that is used to substitute x is correct.