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\frac{-122}{2}=-5+8x
Divide both sides by 2.
-61=-5+8x
Divide -122 by 2 to get -61.
-5+8x=-61
Swap sides so that all variable terms are on the left hand side.
8x=-61+5
Add 5 to both sides.
8x=-56
Add -61 and 5 to get -56.
x=\frac{-56}{8}
Divide both sides by 8.
x=-7
Divide -56 by 8 to get -7.