solve and show all work/steps to receive full credit

2(x + 4) = 4x +14

To solve the equation, let's start by simplifying both sides:

2(x + 4) = 4x + 14

Distribute the 2 on the left side:

2x + 8 = 4x + 14

Now, let's get all the x terms on one side of the equation:

2x - 4x + 8 = 4x - 4x + 14

-2x + 8 = 14

Next, subtract 8 from both sides to isolate the x term:

-2x + 8 - 8 = 14 - 8

-2x = 6

To get rid of the coefficient -2, divide both sides by -2:

-2x / -2 = 6 / -2

x = -3

Therefore, the solution to the equation is x = -3.