-1/2 - 1/3·w = 3/5 is the same as -1/2 - w/3 = 3/5
It usually is easier to solve equations if they have no denominators; a common denominator of -1/2, -1/3, and 3/5 is 30 (because 2 x 3 x 5 = 30); so multiply each term by 30:
30(-1/2) - 30(w/3) = 30(3/5)
-15 - 10w = 18
Add 15 to both sides:
- 10w = 33
Divide by -10:
w = -33/10 or -3.3
-1/2 - 1/3·w = 3/5 is the same as -1/2 - w/3 = 3/5
It usually is easier to solve equations if they have no denominators; a common denominator of -1/2, -1/3, and 3/5 is 30 (because 2 x 3 x 5 = 30); so multiply each term by 30:
30(-1/2) - 30(w/3) = 30(3/5)
-15 - 10w = 18
Add 15 to both sides:
- 10w = 33
Divide by -10:
w = -33/10 or -3.3