Solve 5x + 9 = 2x + 33.

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Multiple Choice

Solve 5x + 9 = 2x + 33.

Explanation:
Isolating the variable on one side lets us solve an equation by balancing what’s on both sides. Subtract 2x from both sides to move the x-term over: 5x − 2x + 9 = 33, which simplifies to 3x + 9 = 33. Next, subtract 9 from both sides to remove the constant: 3x = 24. Divide both sides by 3 to isolate x: x = 8. To check, plug back in: 5(8) + 9 = 40 + 9 = 49 and 2(8) + 33 = 16 + 33 = 49, which match. So x = 8 satisfies the equation.

Isolating the variable on one side lets us solve an equation by balancing what’s on both sides. Subtract 2x from both sides to move the x-term over: 5x − 2x + 9 = 33, which simplifies to 3x + 9 = 33. Next, subtract 9 from both sides to remove the constant: 3x = 24. Divide both sides by 3 to isolate x: x = 8. To check, plug back in: 5(8) + 9 = 40 + 9 = 49 and 2(8) + 33 = 16 + 33 = 49, which match. So x = 8 satisfies the equation.

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