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What is the simplification of 12x-[5+(3-4x)]?

find the simplification

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Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (7 lesson ratings) (7)
1
12x-[5+(3-4x)]
12x-[5+3-4x]
12x-[8-4x]
12x-8+4x
16x-8 or 8(2x-1)
 
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Roseland;
2x-[5+(3-4x)]
Neither the brackets nor parenthesis seem to be purposeful, so we can eliminate those...
2x-5+3-4x
Then, we can combine like terms...
 
2x and -4x are like terms.  While it is true that we are subtracting 4x, it is also true that subtraction is addition of a negative number.
 
-5 and 3 are also like terms.
 
-2x-2
 
We can simplify even more...
-2(x+1)
or
2(-x-1)
In these equations, the parenthesis are useful in that they tell us that the coefficient of -2 or 2 must be multiplied by unified parenthetical numbers.
 
I hope this helps.  If not, please let me know.

Comments

Hi Roseland;
I apologize.
When I copied and pasted the equation, I missed the 1 in 12.