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10=\frac{1}{2}x-6
Add -12 and 6 to get -6.
\frac{1}{2}x-6=10
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=10+6
Add 6 to both sides.
\frac{1}{2}x=16
Add 10 and 6 to get 16.
x=16\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=32
Multiply 16 and 2 to get 32.