How do you simplify #(x-c)-(2x-4c)#?

Answer 1

#(x-c)-(2x-4c)=-x+3c#

From the given #(x-c)-(2x-4c)=(x-c-2x+4c)=x-2x-c+4c# #=-x+3c#

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Answer 2

#(x-c)-(2x-4c)" "->" "3c-x#

Consider #-(2x-4c)#
This is stating that everything inside the bracket is to be multiplied by #(-1)#

Technically you could write

#color(blue)((-1))color(brown)(xx(2x-4c))# but it is not considered to be good mathematical practice.
So we have #color(brown)(-(2x-4c)" " ->" " color(blue)((-1)xx)2x -color(blue)((-1)xx)4c)#
Notice we have two minuses together in the multiplication #color(brown)(-color(blue)((-1)xx)4c)#. This gives us a positive. So the whole bracketed part of #-(2x-4c)# becomes: #-2x+4c#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ So by removing the brackets we have:

#x-c-2x+4c#

Grouping like terms

#4c-c+x-2x#
Counting up all the #c's# we end up with #+3c# Counting all the #x's# we end up with #-x#

Putting it all together

#(x-c)-(2x-4c)" "->" "3c-x#
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Answer 3

To simplify the expression ( (x-c) - (2x-4c) ), you distribute the negative sign inside the parentheses of the second expression, which changes the signs of all terms inside the parentheses. Then, you can combine like terms.

( (x - c) - (2x - 4c) = x - c - 2x + 4c )

Combine like terms:

( x - 2x = -x )

( -c + 4c = 3c )

So, ( (x - c) - (2x - 4c) = -x + 3c ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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