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12-4x-5=7+x
To find the opposite of 4x+5, find the opposite of each term.
7-4x=7+x
Subtract 5 from 12 to get 7.
7-4x-x=7
Subtract x from both sides.
7-5x=7
Combine -4x and -x to get -5x.
-5x=7-7
Subtract 7 from both sides.
-5x=0
Subtract 7 from 7 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.