Question

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

Answer 1

$$\begin{gathered} \left(b\right)-5 \\ 5x+\frac{7}{2}=\frac{3}{2}x-14 \\ \Rightarrow \frac{10x+7}{2}=\frac{3x-28}{2} \\ \Rightarrow 10x+7=3x-28 \\ \Rightarrow 10x-3x=-28-7 \\ \Rightarrow 7x=-35 \\ \Rightarrow x=\frac{-35}{7}=-5 \end{gathered}$$