Discussion
If −12 × (−3) + [20 ÷ (−4) − (−24) ÷ 8] − [16 ÷ (−2)] = (−28 ÷ 7) + x,
then the value of x is
Answer: C
The value of x is 46.
Work out the brackets first, then divisions and multiplications, then additions and subtractions:
\[ \begin{aligned} -12 \times (-3) &= 36 \\ 20 \div (-4) - (-24) \div 8 &= -5 + 3 = -2 \\ 16 \div (-2) &= -8 \\ 36 + (-2) - (-8) &= 42 \end{aligned} \]
The right-hand side is \(-28 \div 7 + x = -4 + x\), so
\[ -4 + x = 42,\quad x = 46 \]
Taking \(-(-8)\) as \(-8\) gives 26 + 4 = 30, and forgetting to move the −4 across gives 42; the options 29, 39 and 47 come from similar sign slips.
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