Expand and simplify 3(2x + 5) – 2(x – 4)

  • Google+ icon
  • LinkedIn icon
  • 7304 views

Firstly, to expand an equation like this, you must multiply the brackets by the number outside of the brackets. Make sure that you multiply every number inside the bracket by the number directly outside, and remember the signs:

3(2x + 5) - 2(x-4) becomes

(3 x 2x) + (3 x 5) + (-2 x x) + (-2 x -4) = 

6x + 15 - 2x + 8 (remember that '-' x '-' = '+')

Then you need to do something called 'collecting the like terms'. This means collecting together all the 'x' terms and all of the 'number' terms, like this:

6x + 15 - 2x + 8 becomes

(6x - 2x) + (15 + 8), working this out means the answer is:

4x + 23

Anna K. A Level Biology tutor, GCSE Biology tutor, GCSE Chemistry tut...

About the author

is an online GCSE Maths tutor with MyTutor studying at Manchester University

Still stuck? Get one-to-one help from a personally interviewed subject specialist.

95% of our customers rate us

Browse tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok