Question

Show all work in simplifying...

Answer 1

\[\dfrac{1}{x} + \dfrac{3}{8} = \dfrac{1}{2}\]\[\dfrac{1}{x} = \dfrac{1}{2} - \dfrac{3}{8} = \dfrac{4}{8} + \dfrac{3}{8} = \dfrac{7}{8}\]\[\dfrac{1}{x} = \dfrac{7}{8}\]Do cross-multiply.\[8 = 7x\]\[\large \boxed{x = \dfrac{8}{7}}\]

Answer 2

Thank you so much!

Answer 3

Glad I helped.