How do I solve this equation: - 5/6b + 3/4 = 1/2b - 2/3?

First get like things on the same side:

-5/6b - 1/2b = - 2/3 - 3/4

Then find equivalent fractions to make the equation easier to solve.

-5/6b - 3/6b = - 8/12 - 9/12

Then just add things together and solve.

-8/6b = - 17/12

-8b = 6 (-17/12)

-8b = - 17/2

b = (-17/2) / - 8

b = 17/16

You can then plug the answer back into the original question to make sure it is the correct answer.