To solve the equation 101 + 36 - 4x = 105, we need to isolate the variable x.

First, combine like terms on the left side of the equation:
101 + 36 - 4x = 105
137 - 4x = 105

Next, subtract 137 from both sides of the equation to isolate the term with x:
137 - 4x - 137 = 105 - 137
-4x = -32

To solve for x, divide both sides of the equation by -4:
-4x / -4 = -32 / -4
x = 8

Therefore, the solution to the equation is x = 8.