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4-5x-7=6-\left(x-3\right)
To find the opposite of 5x+7, find the opposite of each term.
-3-5x=6-\left(x-3\right)
Subtract 7 from 4 to get -3.
-3-5x=6-x-\left(-3\right)
To find the opposite of x-3, find the opposite of each term.
-3-5x=6-x+3
The opposite of -3 is 3.
-3-5x=9-x
Add 6 and 3 to get 9.
-3-5x+x=9
Add x to both sides.
-3-4x=9
Combine -5x and x to get -4x.
-4x=9+3
Add 3 to both sides.
-4x=12
Add 9 and 3 to get 12.
x=\frac{12}{-4}
Divide both sides by -4.
x=-3
Divide 12 by -4 to get -3.