How many real solutions does the equation $2x + 3 = 2(7 + x)$ have?
ANo solution
BExactly one
CExactly two
DInfinitely many
Answer & Solution
Correct answer: A. No solution
Expand the right side: $2(7 + x) = 14 + 2x$. The equation becomes $2x + 3 = 14 + 2x$, which subtracts $2x$ from both sides to give $3 = 14$. That statement is never true, so the original equation has no solution.
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