Solve the equation (3x+2)/(x-1)+3=4

First we must think about the fraction on the left hand side - we have to multiply everything by x-1 in order to get rid of the fraction. This leaves us with 3x+2+3(x-1)=4(x-1). Then, we must expand the brackets, which gives us 3x+2+3x-3=4x-4. Now we will collect similar terms, i.e. collect the xs together and the constants together, to get 6x-1=4x-4. Bringing all the x terms onto the left hand side, and the constant terms onto the right hand side, we get 2x=-3. Finally, dividing through by 2 we are left with x=-3/2, the solution to the equation.

Answered by Mary S. Maths tutor

4062 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to I factorise a quadratic equation?


If 3(x+2) = 4, what is x?


A linear sequence starts with: a + 2b ; a + 6b ; a + 10b etc. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b.


Solve the Simultaneous equations. 3x+5y=22 4x-5y=6


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences