Question

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

Answer 1

(b) -1

$$\begin{gathered} \frac{6x+1}{3}+1=\frac{x-3}{6} \\ \Rightarrow \frac{6x+1+3}{3}=\frac{x-3}{6} \\ \Rightarrow 6(6x+4)=3(x-3) \\ \Rightarrow 36x+24=3x-9 \\ \Rightarrow 36x-3x=-24-9 \\ \Rightarrow 33x=-33 \\ \Rightarrow x=\frac{-33}{33}=-1 \end{gathered}$$