[tex]\begin{gathered} (a) \\ \text{The equation is}\Rightarrow5x+2=12,and\text{ x=2} \\ So,\text{ for left hand side}\Rightarrow\text{5}\times2+2=10+2=12 \\ \text{Left hand side=right hand side}\Rightarrow x=2\text{ is the solution for given equation.} \\ (b) \\ \text{The equation is}\Rightarrow\frac{x-3}{2}=6,\text{and x=15} \\ So,\text{ for left hand side}\Rightarrow\frac{15-3}{2}=\frac{12}{2}=6 \\ \text{Left hand side=right hand side}\Rightarrow x=15\text{ is the solution for given equation.} \\ (c) \\ \text{The equation is}\Rightarrow x^2-2x=8,\text{and x=4} \\ So,\text{ for left hand side}\Rightarrow4^2-2\times4=16-8=8 \\ \text{Left hand side=right hand side}\Rightarrow x=4\text{ is the solution for given equation.} \end{gathered}[/tex]
