Question

vvorth 1 points
(01.02 MC)
Which of the following describes the correct process for solving the equation 2x - 4 = 20 and arrives at the correct solution?
O Add 4 to both sides, and then divide by 2. The solution is x = 12.
O Divide both sides by -4, and then subtract 2. The solution is x = -7.
O Subtract 4 from both sides, and then divide by 2. The solution is x = -12.
O Multiply both sides by -4, and then divide by 2. The solution is x = -40.

Answer 1

Hi there!  

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I believe your answer is:  

"Add 4 to both sides, and then divide by 2. The solution is x = 12."

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Here’s why:  

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• To solve for 'x', we would have to use inverse operations.
• We would first have to add four to both sides to undo the negative four. Addition is the opposite of subtraction.
• We would then divide by 2 to isolate 'x'. Division is the opposite of multiplication.

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$\boxed{\text{Solving for 'x'...}}\\\\2x - 4 = 20\\------------\\\rightarrow 2x - 4 + 4 = 20 + 4\\\\\rightarrow 2x = 24\\\\\rightarrow \frac{2x=24}{2}\\\\\rightarrow \boxed{x = 12}$

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Hope this helps you. I apologize if it’s incorrect.