So, we want to first make this into equation form.
Say n = the number.
4 less:
-4
Than half a number
1/2n - 4
Is equal to 37 less
1/2n - 4 = -37
Than twice the number
1/2n - 4 = 2n - 37
So, move all like terms to the same side:
1/2n - 2n = -37 + 4
-1 1/2n = -34
/-1 1/2 /- 1 1/2
n = 22 2/3