What is the solution to the equation 2(x - 3) = 8? (2023)

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Question: What is the solution to the equation 2(x - 3) = 8? (2023)

Options:

Correct Answer: 7

Exam Year: 2023

Solution:

Expanding gives 2x - 6 = 8. Adding 6 gives 2x = 14, thus x = 7.

What is the solution to the equation 2(x - 3) = 8? (2023)

What is the solution to the equation 2(x - 3) = 8? (2023)

Step 1: Start with the equation 2(x - 3) = 8.
Step 2: Distribute the 2 to both terms inside the parentheses: 2 * x and 2 * -3.
Step 3: This gives you 2x - 6 = 8.
Step 4: Next, add 6 to both sides of the equation to get rid of -6.
Step 5: This results in 2x = 8 + 6, which simplifies to 2x = 14.
Step 6: Now, divide both sides by 2 to solve for x.
Step 7: This gives you x = 14 / 2, which simplifies to x = 7.

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