Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{5}{4}[/tex] x + [tex]\frac{2}{5}[/tex] = - [tex]\frac{13}{30}[/tex]
Multiply through by 60 ( the lcm of 4, 5 and 30) to clear the fractions
- 75x + 24 = - 26 ( subtract 24 from both sides )
- 75x = - 50 ( divide both sides by - 75 )
x = [tex]\frac{-50}{-75}[/tex] = [tex]\frac{2}{3}[/tex]
