Solve ((3x-2)/4) - ((2x+5)/3) = ((1-x)/6)

The important concept here is that in order to add or subtract fractions, they must have a common denominator. The easiest way of finding a common denominator for three or more fractions is usually to multiply the denominators together. So here, your common denominator is 72 (4x3x6). The next important thing to remember is that whatever you do to the bottom of a fraction, you must do to the top. So, if we use the first fraction as an example, you will get: (3*6 (3x-2))/72The same can be done for the other three fractions. Now that they are all over a common denominator, you can forget about the denominator. Now it is just a matter of solving. Multiplying out the brackets must be first (1) on the list and then rearranging the terms to get an equation in the form x= ___18(3x-2) - 24(2x+5) = 12(1-x) 54x-36-48x-120= 12-12x18x=168 so x= 28/3

PD
Answered by Peta D. Maths tutor

4054 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Work out 64^2/3


Cosine theorem?


Talil is going to make some concrete mix. He needs to mix cement, sand and gravel (1: 3:5) by weight. Talil wants to make 180 kg of concrete mix. He has 15 kg of cement, 85 kg of sand, 100 kg of gravel. Does he have enough to make the concrete?


A prism with a triangular cross section has volume 120cm^3. The base of the triangular face has length 6cm. The width of the prism is 10cm. The height of the triangular face is h. Find h.


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