Find the solution set for each of the following equations in \( \mathbb{Q} \):
a) \( 3(X - 5) = -18 \)
\( X = -1 \)
\( X = 1 \)
\( X = -11 \)
Solution set in \( \mathbb{Q} \): \(\{-1\}\)
MR/Nasef.N
b) \( \frac{1}{3}X + 3 = 12 \)
\( X = 27 \)
\( X = 9 \)
\( X = 15 \)
Solution set in \( \mathbb{Q} \): \(\{27\}\)
MR/Nasef.N
c) \( 3(X - 1) + 4 = 3 \)
\( X = \frac{2}{3} \)
\( X = 2 \)
\( X = -\frac{2}{3} \)
Solution set in \( \mathbb{Q} \): \(\left\{\frac{2}{3}\right\}\)
MR/Nasef.N
d) \( 2X + 5 = 12 + 3X \)
\( X = -7 \)
\( X = 7 \)
\( X = \frac{17}{5} \)
Solution set in \( \mathbb{Q} \): \(\{-7\}\)
MR/Nasef.N
e) \( 4(X - 3) = 2(X + 4) \)
\( X = 10 \)
\( X = -10 \)
\( X = 2 \)
Solution set in \( \mathbb{Q} \): \(\{10\}\)
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