Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14.

To find the value of x that makes g(x) equal to 14, we start by setting up the equation based on the definition of g(x).

We know:

g(x) = 4x + 6

We need to find x when g(x) = 14, so we set up the equation:

4x + 6 = 14

Next, we solve for x:

1. First, subtract 6 from both sides:

4x + 6 - 6 = 14 - 6

This simplifies to:

4x = 8

2. Now, divide both sides by 4:

x = 8 / 4

This simplifies to:

x = 2

Thus, the value of x that makes g(x) equal to 14 is x = 2.