Solve for x in the equation 3x + 5 = 2x + 17. What is x?

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Multiple Choice

Solve for x in the equation 3x + 5 = 2x + 17. What is x?

Solving this type of equation means getting the variable by itself. Start by removing the x-term from one side: subtract 2x from both sides to get 3x - 2x + 5 = 17, which simplifies to x + 5 = 17. Next, eliminate the constant on that side by subtracting 5 from both sides, giving x = 12. Check by plugging back: 3(12) + 5 = 36 + 5 = 41 and 2(12) + 17 = 24 + 17 = 41, so both sides match. Other values won’t balance the equation when substituted, confirming x = 12.

Solving this type of equation means getting the variable by itself. Start by removing the x-term from one side: subtract 2x from both sides to get 3x - 2x + 5 = 17, which simplifies to x + 5 = 17. Next, eliminate the constant on that side by subtracting 5 from both sides, giving x = 12. Check by plugging back: 3(12) + 5 = 36 + 5 = 41 and 2(12) + 17 = 24 + 17 = 41, so both sides match. Other values won’t balance the equation when substituted, confirming x = 12.

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