Solve for x: 2x + 5 = 17.

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Study for the Ontario Power Generation (OPG) Orange 1 Test. Ace your exam with multiple choice questions and detailed explanations. Prepare confidently!

Multiple Choice

Solve for x: 2x + 5 = 17.

Explanation:
To solve a linear equation, undo what’s been done to the variable. Start with 2x + 5 = 17. Subtract 5 from both sides to remove the constant term: 2x = 12. Then divide both sides by 2 to isolate x: x = 6. You can check by plugging back: 2(6) + 5 = 12 + 5 = 17, which matches. The other numbers don’t fit: 5 gives 15, 7 gives 19, and 8 gives 21, so only 6 satisfies the equation.

To solve a linear equation, undo what’s been done to the variable. Start with 2x + 5 = 17. Subtract 5 from both sides to remove the constant term: 2x = 12. Then divide both sides by 2 to isolate x: x = 6. You can check by plugging back: 2(6) + 5 = 12 + 5 = 17, which matches. The other numbers don’t fit: 5 gives 15, 7 gives 19, and 8 gives 21, so only 6 satisfies the equation.

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