Answer:
x = 12
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] x + 3 = [tex]\frac{2}{3}[/tex] x + 1
multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
3x + 18 = 4x + 6 ( subtract 3x from both sides )
18 = x + 6 ( subtract 6 from both sides )
12 = x