(x-1)/-3 = (x+5)/6
You want to get x by itself. Start by multiplying both sides by -3 and 6:
6(x-1) = -3(x+5)
Distribute:
6x - 6 = -3x + 5
Add 6 and 3x to both sides:
6x + 3x = 5 + 6
9x = 11
Divide both sides by 9 to get x by itself:
x = 11/9
