Solve for x: 2x + 5 = 17.

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Multiple Choice

Solve for x: 2x + 5 = 17.

Explanation:
Isolating the variable with inverse operations is the key idea. Remove the constant term on the left by subtracting 5 from both sides, giving 2x = 12. Then undo the multiplication by 2 by dividing both sides by 2, so x = 6. Checking the solution by substitution: 2(6) + 5 = 12 + 5 = 17, which matches the right side. Any other value wouldn't balance to 17, so x = 6 is correct.

Isolating the variable with inverse operations is the key idea. Remove the constant term on the left by subtracting 5 from both sides, giving 2x = 12. Then undo the multiplication by 2 by dividing both sides by 2, so x = 6. Checking the solution by substitution: 2(6) + 5 = 12 + 5 = 17, which matches the right side. Any other value wouldn't balance to 17, so x = 6 is correct.

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