[tex]5m+\dfrac{7}{2}=-2m+\dfrac{5}{2}\qquad|\text{add 2m to both sides}\\\\7m+\dfrac{7}{2}=\dfrac{5}{2}\qquad|\text{subtract}\ \dfrac{7}{2}\ \text{from both sides}\\\\7m=\dfrac{5-7}{2}\\\\7m=\dfrac{-2}{2}\\\\7m=-1\qquad|\text{divide both sides by 7}\\\\\boxed{m=-\dfrac{1}{7}}[/tex]
