Solve for x: (2x)/3 = 8

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

Multiple Choice

Solve for x: (2x)/3 = 8

Explanation:
This tests solving a simple linear equation by undoing the operations on x. First undo the division by 3 by multiplying both sides by 3, giving 2x = 24. Then undo the multiplication by 2 by dividing both sides by 2, so x = 12. You can check by substituting back: (2×12)/3 = 24/3 = 8, which matches the right side. Other candidate values wouldn’t make the left side equal 8 (for example, if x were 6, the left side would be 4; if x were 8, it would be 16/3; if x were 16, it would be 32/3). So 12 is the correct solution.

This tests solving a simple linear equation by undoing the operations on x. First undo the division by 3 by multiplying both sides by 3, giving 2x = 24. Then undo the multiplication by 2 by dividing both sides by 2, so x = 12. You can check by substituting back: (2×12)/3 = 24/3 = 8, which matches the right side. Other candidate values wouldn’t make the left side equal 8 (for example, if x were 6, the left side would be 4; if x were 8, it would be 16/3; if x were 16, it would be 32/3). So 12 is the correct solution.

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