If 5(x-2)-3x=2(x-5), which of the following must be true?
Correct answer: D. The equation is true for all values of x.
- A. x is 3
- B. x is 4
- C. x is 5
- D. The equation is true for all values of x.
Explanation
The correct answer is Option D: The equation is true for all values of x.By simplifying both sides using the BODMAS rule, it can be seen that the equation holds true for all values of x, not just specific ones. Options A, B, and C are incorrect because they only consider specific values, while the correct answer encompasses all possible values of x.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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