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

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Multiple Choice

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

Explanation:
To solve this linear equation, you isolate the variable by moving terms so both sides stay equal. Subtract 3x from both sides to collect x terms on the left: 5x - 12 - 3x = 3x + 6 - 3x, which becomes 2x - 12 = 6. Then add 12 to both sides to move the constant: 2x = 18. Finally, divide by 2: x = 9. Check by substitution: 5(9) - 12 = 45 - 12 = 33, and 3(9) + 6 = 27 + 6 = 33, so both sides are equal. The other values don’t satisfy the equation; for example, x = 6 gives 18 on the left but 24 on the right, and similarly the others don’t balance.

To solve this linear equation, you isolate the variable by moving terms so both sides stay equal. Subtract 3x from both sides to collect x terms on the left: 5x - 12 - 3x = 3x + 6 - 3x, which becomes 2x - 12 = 6. Then add 12 to both sides to move the constant: 2x = 18. Finally, divide by 2: x = 9.

Check by substitution: 5(9) - 12 = 45 - 12 = 33, and 3(9) + 6 = 27 + 6 = 33, so both sides are equal. The other values don’t satisfy the equation; for example, x = 6 gives 18 on the left but 24 on the right, and similarly the others don’t balance.

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