This looks like an algebra problem, in which case it belongs to the pre-algebra and algebra forum.
I'm very confused by the lack of parentheses. Exactly what quantities are in denominators?
Can someone explain to me step-by-step how to complete this problem?
2x/2x+5 = 2/3 - 5/4x+10
I tested into discrete math at my college but the problem is I haven't taken a math course since high school (7 years ago). I am really struggling. Does anyone know of any tips/resources that could help me pass this course?
If so, there is still an ambiguity about the way you wrote that. Strictly speaking, what you wrote is (2x/2x)+ 5= 2/3- (5/4)x- 10 which is probably not what you mean. I suspect you meant
2x/(2x+ 5)= 2/3- 4/(4x+10). Actually that may not be what you mean since it would make more sense to write 4/(4x+10) as 2/(2x+ 5), canceling a "2" in numerator and denominator.
Assuming that is the correct equaton, and that you want to solve the equation, the first thing I would do is multiply both sides by 3(2x+ 5)(4x+ 10) (the "common denominator")
to get 6x= 2(2x+ 5)(4x+ 10)- 4(2x+ 5). Multiply that out and you will have a quadratic equation to solve.