Solve for x: 3x - 5 = 2x + 9.

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Multiple Choice

Solve for x: 3x - 5 = 2x + 9.

Explanation:
Solving a linear equation means isolating the variable by doing the same operation on both sides. Start by removing the x term on the right: subtract 2x from both sides, giving x - 5 = 9. Then undo the constant by adding 5 to both sides, yielding x = 14. Check by substitution: 3(14) - 5 = 42 - 5 = 37 and 2(14) + 9 = 28 + 9 = 37, which matches. The solution is x = 14.

Solving a linear equation means isolating the variable by doing the same operation on both sides. Start by removing the x term on the right: subtract 2x from both sides, giving x - 5 = 9. Then undo the constant by adding 5 to both sides, yielding x = 14. Check by substitution: 3(14) - 5 = 42 - 5 = 37 and 2(14) + 9 = 28 + 9 = 37, which matches. The solution is x = 14.

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