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3x-4x-\left(-5\right)-\left(8x-2-\left(3x+3\right)\right)
To find the opposite of 4x-5, find the opposite of each term.
3x-4x+5-\left(8x-2-\left(3x+3\right)\right)
The opposite of -5 is 5.
-x+5-\left(8x-2-\left(3x+3\right)\right)
Combine 3x and -4x to get -x.
-x+5-\left(8x-2-3x-3\right)
To find the opposite of 3x+3, find the opposite of each term.
-x+5-\left(5x-2-3\right)
Combine 8x and -3x to get 5x.
-x+5-\left(5x-5\right)
Subtract 3 from -2 to get -5.
-x+5-5x-\left(-5\right)
To find the opposite of 5x-5, find the opposite of each term.
-x+5-5x+5
The opposite of -5 is 5.
-6x+5+5
Combine -x and -5x to get -6x.
-6x+10
Add 5 and 5 to get 10.
3x-4x-\left(-5\right)-\left(8x-2-\left(3x+3\right)\right)
To find the opposite of 4x-5, find the opposite of each term.
3x-4x+5-\left(8x-2-\left(3x+3\right)\right)
The opposite of -5 is 5.
-x+5-\left(8x-2-\left(3x+3\right)\right)
Combine 3x and -4x to get -x.
-x+5-\left(8x-2-3x-3\right)
To find the opposite of 3x+3, find the opposite of each term.
-x+5-\left(5x-2-3\right)
Combine 8x and -3x to get 5x.
-x+5-\left(5x-5\right)
Subtract 3 from -2 to get -5.
-x+5-5x-\left(-5\right)
To find the opposite of 5x-5, find the opposite of each term.
-x+5-5x+5
The opposite of -5 is 5.
-6x+5+5
Combine -x and -5x to get -6x.
-6x+10
Add 5 and 5 to get 10.