Solve for x: 5x - 7 = 3x + 9.

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Multiple Choice

Solve for x: 5x - 7 = 3x + 9.

Explanation:
To solve this linear equation, isolate x by moving terms with x to one side and constants to the other. Subtract 3x from both sides to get 2x - 7 = 9. Then add 7 to both sides to obtain 2x = 16. Divide both sides by 2 to find x = 8. Check: 5(8) - 7 = 40 - 7 = 33, and 3(8) + 9 = 24 + 9 = 33, so both sides match. The value x = 8 satisfies the equation. The other numbers do not satisfy it when checked.

To solve this linear equation, isolate x by moving terms with x to one side and constants to the other. Subtract 3x from both sides to get 2x - 7 = 9. Then add 7 to both sides to obtain 2x = 16. Divide both sides by 2 to find x = 8. Check: 5(8) - 7 = 40 - 7 = 33, and 3(8) + 9 = 24 + 9 = 33, so both sides match. The value x = 8 satisfies the equation. The other numbers do not satisfy it when checked.

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