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3-x-\left(-2.5\right)=5.5-3x
To find the opposite of x-2.5, find the opposite of each term.
3-x+2.5=5.5-3x
The opposite of -2.5 is 2.5.
5.5-x=5.5-3x
Add 3 and 2.5 to get 5.5.
5.5-x+3x=5.5
Add 3x to both sides.
5.5+2x=5.5
Combine -x and 3x to get 2x.
2x=5.5-5.5
Subtract 5.5 from both sides.
2x=0
Subtract 5.5 from 5.5 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 2 is not equal to 0, x must be equal to 0.