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6x+12=\alpha
Swap sides so that all variable terms are on the left hand side.
6x=\alpha -12
Subtract 12 from both sides.
\frac{6x}{6}=\frac{\alpha -12}{6}
Divide both sides by 6.
x=\frac{\alpha -12}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{\alpha }{6}-2
Divide \alpha -12 by 6.