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\frac{114}{6}=1+2x
Divide both sides by 6.
19=1+2x
Divide 114 by 6 to get 19.
1+2x=19
Swap sides so that all variable terms are on the left hand side.
2x=19-1
Subtract 1 from both sides.
2x=18
Subtract 1 from 19 to get 18.
x=\frac{18}{2}
Divide both sides by 2.
x=9
Divide 18 by 2 to get 9.