What is the value of x in the equation 2x + 6 = 14?

To find the value of x in the equation (2x + 6 = 14), we can solve for x by following these steps.

First, we want to isolate the term containing x. To do this, we subtract 6 from both sides of the equation:

[ 2x + 6 - 6 = 14 - 6 ]

This simplifies to:

[ 2x = 8 ]

Next, to solve for x, we divide both sides by 2:

[ \frac{2x}{2} = \frac{8}{2} ]

This simplifies to:

[ x = 4 ]

Thus, the value of x is 4. The other options provide different numerical values and do not satisfy the equation when substituted back into the original equation. Only the solution x = 4 makes both sides of the equation equal when substituted back into the expression.