If (2x+3)/(x-4)-(2x-8)/(2x+1)=1, what is x?

First eliminate fractions;

    Multiplying both sides by (x-4) gives;

    (2x+3)-((2x-8)(x-4))/(2x+1)=(x-4)

    Multiplying both sides by (2x+1) gives;

    (2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1)

Now simplify the expression;

    Expanding the brackets gives;

    (4x2+2x+6x+3)-(2x2-8x-8x+32)=(2x2+x-8x-4)

    2x2+24x-29=2x2-7x-4

    Subtract (2x2-7x-4) from both sides;

    31x-25=0

Rearrange for x;

31x=25

x=25/31

HC
Answered by Hannah C. Maths tutor

2702 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Calculate 64^2/3. (No calculator)


I keep making silly mistakes how do I stop that?


Solve the following set of simultaneous equations: (eq.1) x + 3y = 10, (eq.2) 2x + y = 5


Find the equation of a line which goes through the points (1,0) and (2,5) in the form of y=mx+c


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences