How many solutions exist for the given equation?

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

1. zero

2. one

3. two

4. infinitely many

One solution

Step-by-step explanation:

To solve this problem, isolate x.

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

Dividing 1/2 from both sides, we get x + 12 = 8x - 2

Subtracting 12 from both sides, we get x = 8x - 14

Subtracting 8x from both sides, we get - 7x = - 14

Dividing - 7 from both sides, we get x = 2

Since this problem is able to be solved with only one answer, there is one solution: x = 2.

one

Step-by-step explanation: you cant simplify the equation so that both sides can be divided to get the same equation, if you graph it theres not a parabola so the only thing left is one.