How do you solve an equation like: 5/(x+2) + 3/(x-3) = 2?

  1. Multiply every term by a denominator to eliminate it;5 + 3(x+2)/(x-3) = 2(x+2)5 + 3x+6/(x-3) = 2x+45(x-3) + 3x+6= (2x+4)(x-3)2) simplify5x-15+3x+6=2x2-12+4x-6x8x-9=2x2-12-2x2x2-10x-3=03) use the equation to solve for x
    tips:remember to multiply both sides of the '=' sign by a denominatortake your time and make note of the minus sign when collecting 'like' terms
TH
Answered by Tom H. Maths tutor

5726 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

expand and simplify x(3x-2)(x+1)


There are 20 sweets in a bag, 5 are white and 15 are black. What is the probability that a sweet chosen at random will be white?


Solve the simultaneous equations 2a + b =4 and 5a – 3b = -1


Solve 5x – 2 > 3x + 11


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning