Two different telephone carriers offer the following plans that a person is considering. Company A has a monthly fee of $\$ 22$ and a charge of $\$ 0.06$ per minute for calls. Company B has a monthly fee of $\$ 6$ and a charge of $\$ 0.14$ per minute for calls. How many minutes of calling would make the two plans equal? Answer: $\mid$ (Enter a numeric response, include the correct units )

Step 1 ：Two different telephone carriers offer the following plans that a person is considering. Company A has a monthly fee of $22 and a charge of $0.06 per minute for calls. Company B has a monthly fee of $6 and a charge of $0.14 per minute for calls.

Step 2 ：We need to find the number of minutes (x) for which the total cost of both plans is the same. We can set up the following equation to represent this situation: \(22 + 0.06x = 6 + 0.14x\)

Step 3 ：Solving this equation gives us the value of x, which represents the number of minutes for which the cost of both plans would be equal.

Step 4 ：By solving the equation, we find that \(x = 200\)

Step 5 ：Final Answer: The two plans would be equal at \(\boxed{200}\) minutes.