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-5+3x+2x=-5
Add 2x to both sides.
-5+5x=-5
Combine 3x and 2x to get 5x.
5x=-5+5
Add 5 to both sides.
5x=0
Add -5 and 5 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 5 is not equal to 0, x must be equal to 0.