Solve for x: 3(x - 1) = 2(x + 4).

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Question: Solve for x: 3(x - 1) = 2(x + 4).

Options:

Correct Answer: -10

Solution:

Expanding gives 3x - 3 = 2x + 8. Rearranging gives x = 11.

Solve for x: 3(x - 1) = 2(x + 4).

Solve for x: 3(x - 1) = 2(x + 4).

Step 1: Start with the equation 3(x - 1) = 2(x + 4).
Step 2: Distribute 3 to both terms inside the first parentheses: 3 * x and 3 * -1. This gives you 3x - 3.
Step 3: Distribute 2 to both terms inside the second parentheses: 2 * x and 2 * 4. This gives you 2x + 8.
Step 4: Now your equation looks like this: 3x - 3 = 2x + 8.
Step 5: To get all the x terms on one side, subtract 2x from both sides: 3x - 2x - 3 = 8.
Step 6: This simplifies to x - 3 = 8.
Step 7: Now, add 3 to both sides to isolate x: x - 3 + 3 = 8 + 3.
Step 8: This gives you x = 11.

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