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\frac{105}{-7}=2x-1
Divide both sides by -7.
-15=2x-1
Divide 105 by -7 to get -15.
2x-1=-15
Swap sides so that all variable terms are on the left hand side.
2x=-15+1
Add 1 to both sides.
2x=-14
Add -15 and 1 to get -14.
x=\frac{-14}{2}
Divide both sides by 2.
x=-7
Divide -14 by 2 to get -7.