Question

Solve for m. 5m+7/2 = −2m+5/2 a. -1/7 b. 6/7 c. 7 d. -1

Answer 1

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