Multiple Choice Question

Question

Jackson solved the problem 3x-8=2(2x-7) using the following steps:
STEP 1: Use Distributive Property to get 3x-8=4x-14
STEP 2: Use Addition Property of Equality to get 3x = 4x-14+8
STEP 3: Combine Like Terms to get 3x = 4x-6
STEP 4: Use Subtraction Property of Equality to get 3x-4x= -6
STEP 5: Combine Like Terms to get (-x)=-6
What is the last step?
A.
Use Property of Equality to get x= (-6)
B.
Divide both sides by -1 to get x=6
C.
Divide both sides by -1 to get x= (-6)
D.
Use Multiplication Property of Equality to get x=6

Answer 1

To find the last step after Jackson arrived at the equation \((-x) = -6\), we need to isolate \(x\).

Given \((-x) = -6\):

• To solve for \(x\), we can multiply both sides by -1, which will give us \(x = 6\).

Looking at the provided choices: A. Use Property of Equality to get x= (-6) - Incorrect B. Divide both sides by -1 to get x=6 - Correct C. Divide both sides by -1 to get x= (-6) - Incorrect D. Use Multiplication Property of Equality to get x=6 - This is not incorrect, but it's less precise than option B, which specifies division.

Therefore, the most appropriate answer is B. Divide both sides by -1 to get x=6.