Solve for x: 2x + 5 = 17.

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Prepare for the Certify Teacher EC-6 (391) Mathematics Exam. Utilize multiple choice questions, flashcards, and explanations to excel in your assessment. Gear up for success!

Multiple Choice

Solve for x: 2x + 5 = 17.

Explanation:
To solve this linear equation, you isolate the variable by undoing what’s been added or multiplied to it. Start with 2x + 5 = 17. Undo the addition by subtracting 5 from both sides, giving 2x = 12. Then undo the multiplication by dividing both sides by 2, which yields x = 6. Check by substituting back: 2(6) + 5 = 12 + 5 = 17, which matches. So x is 6. If you try any other number, the left side won’t equal 17, so it wouldn’t satisfy the equation.

To solve this linear equation, you isolate the variable by undoing what’s been added or multiplied to it. Start with 2x + 5 = 17. Undo the addition by subtracting 5 from both sides, giving 2x = 12. Then undo the multiplication by dividing both sides by 2, which yields x = 6. Check by substituting back: 2(6) + 5 = 12 + 5 = 17, which matches. So x is 6. If you try any other number, the left side won’t equal 17, so it wouldn’t satisfy the equation.

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