(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.

Question

contestada

Respuesta :

luisejr77 luisejr77 · Answer 1 · 2019-05-24T19:27:07+02:00

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.

[tex]2x - 6 = 22[/tex]

To solve the equation we must clear the variable x

[tex]2x - 6 = 22[/tex]

1) Add 6 on both sides of equality

[tex]2x - 6 +6 = 22 +6[/tex]

[tex]2x = 28[/tex]

2) Divide both sides of the equality between 2

[tex]\frac{2}{2}x = \frac{28}{2}[/tex]

[tex]x = 14[/tex]

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"