Answer:
x = 1
Step-by-step explanation:
Given
[tex]\frac{4}{15}[/tex] x + [tex]\frac{5}{6}[/tex] x + [tex]\frac{1}{2}[/tex] = 1 [tex]\frac{3}{5}[/tex] ← convert to an improper fraction
[tex]\frac{4}{15}[/tex] x + [tex]\frac{5}{6}[/tex] x + [tex]\frac{1}{2}[/tex] = [tex]\frac{8}{5}[/tex]
Multiply through by 30 ( the LCM of 15, 6, 2, 5 ) to clear the fractions
8x + 25x + 15 = 48
33x + 15 = 48 ( subtract 15 from both sides )
33x = 33 ( divide both sides by 33 )
x = 1
