To solve this equation, we first need to find a common denominator for 20 and 30. The least common multiple of 20 and 30 is 60. So, rewrite the equation with a common denominator of 60:
(48/60 - 60x/60) + 39/60 = 50/60
Now combine like terms:
(48 - 60x + 39) / 60 = 50 / 60
(87 - 60x) / 60 = 50 / 60
Cross multiply:
87 - 60x = 50
Add 60x to both sides:
87 = 60x + 50
Subtract 50 from both sides:
37 = 60x
Divide by 60:
x = 37/60
Therefore, the solution to the equation is x = 37/60.
(4/5 - x) + 13/20 = 25/30
To solve this equation, we first need to find a common denominator for 20 and 30. The least common multiple of 20 and 30 is 60. So, rewrite the equation with a common denominator of 60:
(48/60 - 60x/60) + 39/60 = 50/60
Now combine like terms:
(48 - 60x + 39) / 60 = 50 / 60
(87 - 60x) / 60 = 50 / 60
Cross multiply:
87 - 60x = 50
Add 60x to both sides:
87 = 60x + 50
Subtract 50 from both sides:
37 = 60x
Divide by 60:
x = 37/60
Therefore, the solution to the equation is x = 37/60.