What is the value of x in the equation 3x - 7 = 2x + 5? (2023)

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Question: What is the value of x in the equation 3x - 7 = 2x + 5? (2023)

Options:

Correct Answer: 6

Exam Year: 2023

Solution:

Rearranging gives 3x - 2x = 5 + 7, thus x = 12.

What is the value of x in the equation 3x - 7 = 2x + 5? (2023)

What is the value of x in the equation 3x - 7 = 2x + 5? (2023)

Step 1: Start with the equation 3x - 7 = 2x + 5.
Step 2: To get all the x terms on one side, subtract 2x from both sides. This gives you 3x - 2x - 7 = 5.
Step 3: Simplify the left side. 3x - 2x is 1x, so now you have x - 7 = 5.
Step 4: Next, to isolate x, add 7 to both sides of the equation. This gives you x = 5 + 7.
Step 5: Now, simplify the right side. 5 + 7 equals 12, so x = 12.

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