how many solutions exist for the given equation? 12x + 1 = 3(4x + 1) - 2 zero one two infinitely many

Explanation:

Step1: Expand the right - hand side

$12x + 1=3\times4x+3\times1 - 2$ $12x + 1 = 12x+3 - 2$

Step2: Simplify the right - hand side

$12x + 1=12x + 1$

Step3: Analyze the result

Since the left - hand side is equal to the right - hand side for all real values of $x$, there are infinitely many solutions.

Answer:

infinitely many