simplify the expression 2(3x-6)-(5x+3)

Algebra
Tutor: None Selected Time limit: 1 Day

simplify the expression

Aug 31st, 2015

Thank you for the opportunity to help you with your question!

2(3x-6)-(5x+3)  Distribute the 2 to the first part of the expression

(6x-12)-(5x+3) Distribute the - to the second part of the expression

6x-12 -5x-3  Put like terms together

6x-5x-12-3 Simplify

x-15 This is the final answer


Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 31st, 2015

thank you for helping me with this problem i understand it all the way up to when the 3 turns to negative I'm not sure why it does that and doesn't continue to stay positive 


Aug 31st, 2015

No problem! Let me see if I can explain it another way.

For the moment, let's ignore all of the problem except for -(5x+3).

When there is a minus (or negative sign) in front of parenthesis it acts as a -1.

Let's rewrite it as -1(5x+3)

When we distribute we see :

(-1)(5x) + (-1)(3)

-5x+ (-3)

As you can notice, it looks weird to have the plus sign there. So, we can simply make it as

-5x-3.


Does that make more sense?

Aug 31st, 2015

yes it does thank you


Aug 31st, 2015

Awesome! I'm glad I could help.

Aug 31st, 2015

im having some more trouble....

-5.5(3x+6)-1.4(2x-4)

Aug 31st, 2015

Don't let the 5.5 and the 1.4 confuse you. It works just the same

-16.5x-33-2.8x+5.6 (remember a negative multiplied by another negative is positive)

-16.5x-2.8x-33+5.6

19.3x-27.4 (final answer)

Aug 31st, 2015

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