Question

Mark (✓) against the correct answer
If $\frac{x-2}{3}=\frac{2x-1}{3}-1,$ then x = ?
(a) 2
(b) 4
(c) 6
(d) 8

Answer 1

$$\begin{gathered} \begin{array}{l}\left(\mathrm{a}\right)2\\ \frac{x-2}{3}\text{=}\frac{2x-1}{3}-1\\ \Rightarrow \frac{x-2}{\cancel{3}}=\frac{2x-1-3}{\cancel{3}}\\ \Rightarrow x-2=2x-4\\ \Rightarrow \text{x-2x=-4+2}\\ \Rightarrow -x=-2\end{array} \\ \Rightarrow x=2 \end{gathered}$$