What is the solution to the equation 5x + 3 = 2x + 12?

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Question: What is the solution to the equation 5x + 3 = 2x + 12?

Options:

Correct Answer: 3

Solution:

Subtract 2x from both sides: 3x + 3 = 12. Subtract 3: 3x = 9. Divide by 3: x = 3.

What is the solution to the equation 5x + 3 = 2x + 12?

What is the solution to the equation 5x + 3 = 2x + 12?

Step 1: Start with the equation 5x + 3 = 2x + 12.
Step 2: Subtract 2x from both sides to get 5x - 2x + 3 = 12.
Step 3: This simplifies to 3x + 3 = 12.
Step 4: Now, subtract 3 from both sides to isolate the term with x: 3x = 12 - 3.
Step 5: This simplifies to 3x = 9.
Step 6: Finally, divide both sides by 3 to solve for x: x = 9 / 3.
Step 7: This gives us the solution x = 3.

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