Answer:
x = [tex]\frac{17}{24}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{5}{8}[/tex] - (- [tex]\frac{4}{3}[/tex] ) = x
Note that - (- [tex]\frac{4}{3}[/tex] ) = + [tex]\frac{4}{3}[/tex] , thus
- [tex]\frac{5}{8}[/tex] + [tex]\frac{4}{3}[/tex] = x
Multiply through by 24 ( the lcm of 8 and 3 ) to clear the fractions
- 15 + 32 = 24x
17 = 24x ( divide both sides by 24 )
[tex]\frac{17}{24}[/tex] = x