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

6156 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve 56x + 10 = 60 - 48x


Here are four fractions, 4/5 3/8 12/30 14/20. Write them in order of size, starting with the smallest fraction.


Solve these simultaneous questions: 2y+x =8 and y-2x = -1.


The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.


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:

© 2026 by IXL Learning