Answer:
x = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
x + 3.5 = 4 [tex]\frac{1}{3}[/tex] ( express 3.5 as a mixed number )
x + 3 [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{3}[/tex] ( change the mixed numbers to improper fractions )
x + [tex]\frac{7}{2}[/tex] = [tex]\frac{13}{3}[/tex]
Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
6x + 21 = 26 ( subtract 21 from both sides )
6x = 5 ( divide both sides by 6 )
x = [tex]\frac{5}{6}[/tex]
