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15-12=7-\left(-5\right)+x
Combine -x and x to get 0.
3=7-\left(-5\right)+x
Subtract 12 from 15 to get 3.
3=7+5+x
The opposite of -5 is 5.
3=12+x
Add 7 and 5 to get 12.
12+x=3
Swap sides so that all variable terms are on the left hand side.
x=3-12
Subtract 12 from both sides.
x=-9
Subtract 12 from 3 to get -9.