To solve this equation, we will first distribute the 3 on the left side of the equation:

3(5 + x/2) = 4 + 2x
15 + 3x/2 = 4 + 2x

Next, we'll get rid of the fraction by multiplying by 2 to both sides of the equation:

2(15 + 3x/2) = 2(4 + 2x)
30 + 3x = 8 + 4x

Now, we'll isolate x on one side of the equation:

3x - 4x = 8 - 30
-x = -22

Finally, we'll divide by -1 to solve for x:

x = 22

Therefore, the solution to the equation is x = 22.