To determine how many solutions the equation 6x + 12 = 18 has, we first need to rearrange the equation to isolate the variable x.
Start by subtracting 12 from both sides of the equation:
6x + 12 - 12 = 18 - 12
This simplifies to:
6x = 6
Next, divide both sides by 6 to solve for x:
x = 6 / 6
This simplifies to:
x = 1
So, the equation has one solution: x = 1.
In conclusion, the equation 6x + 12 = 18 has exactly one solution.