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

infinitely many

Step-by-step explanation:

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

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

Step-by-step explanation:

Using distributive property.

Subtracting 1 from both sides.

Dividing both sides by 12.

All real numbers are solutions.

There are infinite solutions.

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.