Solve for x: 3x - 7 = 2x + 5.

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Multiple Choice

Solve for x: 3x - 7 = 2x + 5.

Explanation:
To solve this, you want to isolate x by moving terms so all x’s are on one side and constants on the other. Subtract 2x from both sides to collect the x terms on the left: 3x - 2x - 7 = 5, which simplifies to x - 7 = 5. Then add 7 to both sides to finish isolating x: x = 12. A quick check confirms it: substitute x = 12, and both sides become 29. Since only x = 12 makes both sides equal, that’s the solution.

To solve this, you want to isolate x by moving terms so all x’s are on one side and constants on the other. Subtract 2x from both sides to collect the x terms on the left: 3x - 2x - 7 = 5, which simplifies to x - 7 = 5. Then add 7 to both sides to finish isolating x: x = 12. A quick check confirms it: substitute x = 12, and both sides become 29. Since only x = 12 makes both sides equal, that’s the solution.

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