Solve for x: 2x - 5 = x + 9.

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Multiple Choice

Solve for x: 2x - 5 = x + 9.

Explanation:
Solving a linear equation means isolating the variable so both sides balance. Start with 2x - 5 = x + 9. Subtract x from both sides to collect the x term on one side: x - 5 = 9. Then add 5 to both sides to isolate x: x = 14. Check by substituting back: 2(14) - 5 = 28 - 5 = 23, and 14 + 9 = 23, so both sides are equal. Therefore, x equals 14. Any other proposed values won’t balance the two sides.

Solving a linear equation means isolating the variable so both sides balance. Start with 2x - 5 = x + 9. Subtract x from both sides to collect the x term on one side: x - 5 = 9. Then add 5 to both sides to isolate x: x = 14. Check by substituting back: 2(14) - 5 = 28 - 5 = 23, and 14 + 9 = 23, so both sides are equal. Therefore, x equals 14. Any other proposed values won’t balance the two sides.

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