Answer:
To solve this equation for x, we can begin by simplifying the left side of the equation using the common denominator of 20:
20(3x - 1/4) - 20(2x + 3/5) = 20(1 - x/10)
Next, we can distribute the 20 to each term:
60x - 5 - 40x - 12 = 20 - 2x
Simplifying the left side of the equation:
20x - 17 = 20 - 2x
Adding 2x to both sides:
22x - 17 = 20
Adding 17 to both sides:
22x = 37
Dividing by 22 on both sides:
x = 37/22
Therefore, the solution to the equation 3x-1/4 - 2x+3/5 = 1-x/10 is x = 37/22.