To solve the equation 8x + 6 = 12 + 2x, we start by isolating the variable x on one side of the equation.
First, let’s get all the terms involving x on one side. We can do this by subtracting 2x from both sides:
8x – 2x + 6 = 12
This simplifies to:
6x + 6 = 12
Next, we want to isolate the 6x term, so we subtract 6 from both sides:
6x = 12 – 6
This simplifies to:
6x = 6
Now, to find the value of x, we divide both sides by 6:
x = 1
So, the value of x in the solution set is 1.