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11a=12x-1
Swap sides so that all variable terms are on the left hand side.
\frac{11a}{11}=\frac{12x-1}{11}
Divide both sides by 11.
a=\frac{12x-1}{11}
Dividing by 11 undoes the multiplication by 11.
12x=11a+1
Add 1 to both sides.
\frac{12x}{12}=\frac{11a+1}{12}
Divide both sides by 12.
x=\frac{11a+1}{12}
Dividing by 12 undoes the multiplication by 12.