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

5569 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the following equation by factorisation: x^2 - 2x -15 = 0


Rearrange the following making a the subject: (a+2)/5 = 3a+b


The perimeter of a right-angled triangle is 60 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Calculate the area of the triangle.


√3(√30 + √8) can be simplified into the follwing format: x√10 + y√6 where are x and y are integers. Find the value of x and y.


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