To solve this equation, we first need to distribute the 4 to each term inside the parentheses:

4(1) + 4(2x+3) + 4(7) - 2 - 8 = 5 + 2x

Now we simplify each term:

4 + 8x + 12 + 28 - 2 - 8 = 5 + 2x

Combine like terms:

8x + 42 - 2 - 8 = 5 + 2x

8x + 32 = 5 + 2x

Next, we want to isolate the variable x:

8x - 2x = 5 - 32
6x = -27

Now divide by 6 to solve for x:

x = -27/6
x = -4.5

Therefore, the solution to the equation is x = -4.5.