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

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Multiple Choice

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

Explanation:
When solving a linear equation with x on both sides, the goal is to get x by itself. Do this by moving the x-terms to one side and constants to the other. Subtract 2x from both sides: 3x - 7 - 2x = 5, which gives x - 7 = 5. Then add 7 to both sides: x = 12. Check: 3x - 7 becomes 3(12) - 7 = 29, and 2x + 5 becomes 2(12) + 5 = 29, so both sides match. The solution is x = 12.

When solving a linear equation with x on both sides, the goal is to get x by itself. Do this by moving the x-terms to one side and constants to the other.

Subtract 2x from both sides: 3x - 7 - 2x = 5, which gives x - 7 = 5. Then add 7 to both sides: x = 12.

Check: 3x - 7 becomes 3(12) - 7 = 29, and 2x + 5 becomes 2(12) + 5 = 29, so both sides match. The solution is x = 12.

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