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

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

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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