Question

Solve: $5x-2(2x-7)=2(3x-1)+\frac{7}{2}$

Answer 1

Find the value of $x$

Given :$5x-2(2x-7)=2(3x-1)+\frac{7}{2}$

$$\begin{gathered} \Rightarrow 5x–4x+14=6x–2+\frac{7}{2} \\ \Rightarrow x–6x=-14-2+\frac{7}{2} \\ \Rightarrow -5x=-16+\frac{7}{2} \end{gathered}$$

$$\begin{gathered} \Rightarrow -5x=\frac{(-32+7)}{2} \\ \Rightarrow -5x=\frac{-25}{2} \\ \Rightarrow x=\frac{25}{10} \\ \Rightarrow x=\frac{5}{2} \end{gathered}$$

Hence, $x=\frac{5}{2}$ is the required answer.