Answer:
12
Step-by-step explanation:
Start by multiplying both sides by 2.
[tex]\frac{1}{2} x+3=\frac{2}{3} x+1\\x+6=\frac{4}{3} x+2[/tex]
Next, multiply both sides by 3.
[tex]x+6=\frac{4}{3} x+2\\3x+18=4x+6[/tex]
Combine like terms.
[tex]3x+18=4x+6\\18=x+6\\12=x[/tex]