Solve the equation $3(x - 2) + 5 = 2x + 7$.
A$x = 4$
B$x = 6$
C$x = 8$
D$x = 10$
Answer & Solution
Correct answer: C. $x = 8$
Distribute on the left: $3x - 6 + 5 = 2x + 7 \Rightarrow 3x - 1 = 2x + 7$.
Subtract $2x$ from both sides: $x - 1 = 7$.
Add $1$: $x = 8$.
Check: $3(8 - 2) + 5 = 3(6) + 5 = 23$ and $2(8) + 7 = 23$ ✓.
- Trap A ($4$) drops the $+5$.
- Trap B ($6$) is $x - 2 = 6 \Rightarrow x = 8$ misread.
- Trap D ($10$) over-corrects.
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