Solve for x: 5x - 12 = 3x + 6

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Multiple Choice

Solve for x: 5x - 12 = 3x + 6

Explanation:
This is solving a linear equation by isolating the variable on one side. Start with 5x - 12 = 3x + 6. Subtract 3x from both sides to collect x terms on the left: 2x - 12 = 6. Then add 12 to both sides to move the constant term: 2x = 18. Divide by 2 to solve for x: x = 9. Check by substitution: 5(9) - 12 = 45 - 12 = 33, and 3(9) + 6 = 27 + 6 = 33, so both sides match. The solution is x = 9.

This is solving a linear equation by isolating the variable on one side. Start with 5x - 12 = 3x + 6. Subtract 3x from both sides to collect x terms on the left: 2x - 12 = 6. Then add 12 to both sides to move the constant term: 2x = 18. Divide by 2 to solve for x: x = 9. Check by substitution: 5(9) - 12 = 45 - 12 = 33, and 3(9) + 6 = 27 + 6 = 33, so both sides match. The solution is x = 9.

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