To solve for x, we can distribute the (a+2) on the left side of the equation:

a(x) + 2(x) = 6a + 12

Now we can simplify the equation:

ax + 2x = 6a + 12

Next, we want to isolate x on one side of the equation. We can do this by moving all terms with x to the left side and all terms without x to the right side:

ax + 2x = 6a + 12
ax + 2x - 6a = 12

Now we factor out the x term:

x(a + 2) = 6a + 12

Now we solve for x by dividing both sides by (a+2):

x = (6a + 12) / (a + 2)

Therefore, x = 6 + 12 / (a + 2)