Question

Which of the following describes he correct process for solving the equation 2x-6=22 and arrives at the correct solution?

- divide both sides by -6 and then add 2. The solution is x=8

- subtract 6 from both sides of the equation and then divide by 2. The solution is x=7

- add 6 to both sides of the equation and then divide by 2. The solution is x=14

- add 6 to both sides of the equation and then divide by 22. The solution is x= -14

Answer 1

-add 6 to both sides of the equation and then divide by 2. The solution is x=14.

Answer 2

C) add 6 to both sides of the equation and then divide by 2. The solution is x=14

Explanation:

The given equation is 2x - 6 = 22

Here we need to solve for x.

We need to isolate the variable and constant term using inverse operations.

Step 1: Add 6 on both sides, we get

2x - 6 + 6 = 22 + 6

2x = 28

Step 2: Dividing both sides by 2, we get

2x/2 = 28/2

x = 14

So the answer is

C) add 6 to both sides of the equation and then divide by 2. The solution is x=14