Answer:
x = -10/7
Step-by-step explanation:
Assume that you meant (2/4)x - (1/5)x = x - 1. The parentheses are important for clarity.
Start the solution by combining the x terms. Note that the LCD here is 20, and that the problem thus becomes
(10/20)x - (4/20)x = x - 1
This simplifies to (6/20)x = x - 1, or
(3/10)x = x - 1
Note that 'x' = '10/10x', and so (3/10)x = (10/10)x - 1, or
-1 = (7/10)x
Multiplying both sides by 10, we get 7x = -10, and therefore x = -10/7
