Final answer:
There are infinitely many solutions for the given equation using the distributive property.
Step-by-step explanation:
The given equation is 12x+1=3(4x + 1)-2.
To solve this equation using the distributive property, we need to distribute the 3 to both terms inside the parentheses:
12x+1=12x + 3 - 2
Combining like terms, we have:
12x+1=12x+1
As we can see, both sides of the equation are equal. This means that there are infinitely many solutions for this equation.
Learn more about Solving equations using the distributive property