Answer:
x = - [tex]\frac{14}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] (x + 5 [tex]\frac{1}{2}[/tex] ) = [tex]\frac{5}{8}[/tex]
Multiply both sides by 8 to clear the fractions
6(x + 5 [tex]\frac{1}{2}[/tex] ) = 5 ← distribute parenthesis on left side
6x + 33 = 5 ( subtract 33 from both sides )
6x = - 28 ( divide both sides by 6 )
x = [tex]\frac{-28}{6}[/tex] = - [tex]\frac{14}{3}[/tex]
