# Twice a number decreased by the sum of half the same number and 6 is equal to nine. What is the number?

Twice a number decreased by the sum of half the same number and 6 is equal to nine. What is the number?
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Saige Barton
$2x-\left(\frac{x}{2}+6\right)=9$
$2x-\frac{x}{2}-6=9$
$4x-x-12=18$
$3x=18+12$
$3x=30$
$x=10$