If $3(2x - 1) = 2(x + 5)$, find the value of x.
A$x = \frac{13}{4}$CORRECT
B$x = \frac{11}{4}$
C$x = 4$
D$x = \frac{7}{2}$
GCEMathematicsAlgebraic Processes2021
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Why the answer is A, and why the others tempt you.
Expanding: 6x - 3 = 2x + 10. Collecting like terms: 6x - 2x = 10 + 3, so 4x = 13, giving x = 13/4. Distractors arise from sign errors or incomplete expansion.
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