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-5x-15-\left(-x\right)=1
To find the opposite of 15-x, find the opposite of each term.
-5x-15+x=1
The opposite of -x is x.
-4x-15=1
Combine -5x and x to get -4x.
-4x=1+15
Add 15 to both sides.
-4x=16
Add 1 and 15 to get 16.
x=\frac{16}{-4}
Divide both sides by -4.
x=-4
Divide 16 by -4 to get -4.