Solve for a
a=\frac{x}{6}
Solve for x
x=6a
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\frac{1}{6}x=a
Combine \frac{x}{2} and -\frac{x}{3} to get \frac{1}{6}x.
a=\frac{1}{6}x
Swap sides so that all variable terms are on the left hand side.
\frac{1}{6}x=a
Combine \frac{x}{2} and -\frac{x}{3} to get \frac{1}{6}x.
\frac{\frac{1}{6}x}{\frac{1}{6}}=\frac{a}{\frac{1}{6}}
Multiply both sides by 6.
x=\frac{a}{\frac{1}{6}}
Dividing by \frac{1}{6} undoes the multiplication by \frac{1}{6}.
x=6a
Divide a by \frac{1}{6} by multiplying a by the reciprocal of \frac{1}{6}.
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