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

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

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

C. Subtract 6 from both sides of the equation, and then divide by 2. The solution is x = 7.

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



Answer :

The statement that describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution is: C. Subtract 6 from both sides and then divide by 2.

Equation

Given:

Equation= 2x - 6 = 22

Solving for x

Hence:

2x - 6 = 22

Re-arrange and substract 6 from both side

2x=22-6

2x=16

Divide both side by 2x

x=16/2

x=8

Therefore the statement that describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution is: C. Subtract 6 from both sides and then divide by 2.

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