Answer :

[tex] \frac{x}{2} = \frac{x}{6} + 3[/tex]

[tex]3x= x+18[/tex]

[tex]2x=18[/tex]

[tex]x=9[/tex]
apologiabiology
1/2 of a number(1/2 times x) is (=) 3 more than (3+) 1/6 the same number (1/6 times x)

1/2x=3+1/6x
x/2=3+x/6
subtract x/6 from both sdies
x/2-x/6=3
x/2-x/6
x/2 times 3/3=3x/6
3x/6-x/6=2x/6=x/3
x/3=3
multiply both sides by 3
x=9

9 is the number