2(2x+1)=38

We need to solve the equation 2(2x+1)=38.

First, we distribute the 2 to both terms inside the parentheses: 4x + 2 = 38.

Next, we subtract 2 from both sides of the equation: 4x = 36.

To isolate x, we divide both sides of the equation by 4: x = 9.

Therefore, the solution to the equation is x = 9.