Question

Im struggling on this problem PLEASE show the WORK (-x+3)-(x-5)

Answer 1

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Answer:

Let's simplify step-by-step.

− x + 3 − ( x − 5 )

Distribute the Negative Sign:

= − x + 3 + − 1 ( x − 5 )

= − x + 3 + − 1x + ( − 1 ) ( − 5 )

= − x + 3 + − x + 5

Combine Like Terms:

= − x + 3 + − x + 5

= ( − x + − x ) + ( 3 + 5 )

= − 2x + 8

Answer:

= − 2x + 8

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Answer 2

In a problem like this, you have the see it as two separate problems before you can complete it. I’ll show work but I want to use words to maybe help you understand for the future. So split them apart to become (-x+3) as the first step and leave that alone for now. Then look at -(x-5). With the variable in place, you need to think of the subtraction sign as a negative integer and distribute it to the variables in the parentheses. The negative combines with the x to make a -x and the negative combines with the -5 to make a positive five. So now we have -x+5
After you complete that first part, you can pull the first part back and start to combine them. -x+3-x+5 becomes -2x+8.
Now here’s the work part.
(-x+3)-(x-5)
(-x+3) (-x+5)
-x (+) -x = -2x
3+5 = 8
-2x+8 is the final answer