Question:
Tick (✓) the correct answer
If $5 x+\frac{7}{1}=\frac{3}{2} x-14$, then $x=?$
(a) 5
(b) −5
(c) 6
(d) −6
Solution:
(b) −5
$5 x+\frac{7}{2}=\frac{3}{2} x-14$
$\Rightarrow \frac{10 x+7}{2}=\frac{3 x-28}{2}$
$\Rightarrow 10 x+7=3 x-28$
$\Rightarrow 10 x-3 x=-28-7$
$\Rightarrow 7 x=-35$
$\Rightarrow x=\frac{-35}{7}=-5$
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