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

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

Options:

Correct Answer: x = 1

Solution:

Step 1: Distribute: 3x + 6 = 2x + 10. Step 2: Subtract 2x from both sides: x + 6 = 10. Step 3: Subtract 6: x = 4.

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

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

Step 1: Distribute the 3 on the left side of the equation: 3(x + 2) becomes 3x + 6. The equation now looks like this: 3x + 6 = 2(x + 5).
Step 2: Distribute the 2 on the right side of the equation: 2(x + 5) becomes 2x + 10. The equation now looks like this: 3x + 6 = 2x + 10.
Step 3: Subtract 2x from both sides of the equation to get all the x terms on one side: 3x - 2x + 6 = 10. This simplifies to x + 6 = 10.
Step 4: Subtract 6 from both sides of the equation to isolate x: x + 6 - 6 = 10 - 6. This simplifies to x = 4.

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