The given equation is (x+12) = 4x - 1.
To determine the number of solutions for this equation, we need to simplify it by combining like terms.
1. Start by expanding the left side of the equation:
x + 12 = 4x - 1
2. Move all terms involving x to one side of the equation and constants to the other side:
x - 4x = -1 - 12
-3x = -13
3. Divide by -3 to solve for x:
x = (-13)/(-3)
x = 13/3 or x = 4.33
After solving the equation, we find that x = 4.33.
Since there is only one value for x that satisfies the equation, there is only one solution to the given equation.
Therefore, the answer is: one solution.
