Question

(01.07, 2.01) Which of the following describes the 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. Add 6 to both sides of the equation and then divide by 2. The solution is x = 14. 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 22. The solution is x = −14.

Answer 1

Answer: Second Option

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

Step-by-step explanation:

We have the following equation and we want to solve for x.

$2x - 6 = 22$

To solve the equation we must clear the variable x

$2x - 6 = 22$

1) Add 6 on both sides of equality

$2x - 6 +6 = 22 +6$

$2x = 28$

2) Divide both sides of the equality between 2

$\frac{2}{2}x = \frac{28}{2}$

$x = 14$

The solution is x = 14

Therefore the answer is the second option:

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