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x+\frac{4.5-\frac{x}{2}}{2}=4.5
Add \frac{4.5-\frac{x}{2}}{2} to both sides.
2x+4.5-\frac{x}{2}=9
Multiply both sides of the equation by 2.
-\frac{x}{2}+2x+4.5=9
Reorder the terms.
-x+4x+9=18
Multiply both sides of the equation by 2.
3x+9=18
Combine -x and 4x to get 3x.
3x=18-9
Subtract 9 from both sides.
3x=9
Subtract 9 from 18 to get 9.
x=\frac{9}{3}
Divide both sides by 3.
x=3
Divide 9 by 3 to get 3.