The given equation is 12x + 6 = 5x.
To determine the number of solutions to this equation, we can simplify it by moving all the terms involving x to one side of the equation.
1. Subtract 5x from both sides:
12x + 6 - 5x = 5x - 5x
7x + 6 = 0
2. Next, subtract 6 from both sides:
7x + 6 - 6 = 0 - 6
7x = -6
3. Divide by 7 to isolate x:
7x/7 = -6/7
x = -6/7
Therefore, the solution to the equation is x = -6/7.
In this case, there is only one solution to the equation, which is x = -6/7. So, the answer is:
OA. 1
