a) 105 + 5x = 150
To solve for x, we need to isolate the variable on one side of the equation.

First, subtract 105 from both sides of the equation:
105 + 5x - 105 = 150 - 105
5x = 45

Next, divide both sides of the equation by 5:
5x/5 = 45/5
x = 9

Therefore, x = 9.

b) 115 - 4x = 7
To solve for x, we need to isolate the variable on one side of the equation.

First, subtract 115 from both sides of the equation:
115 - 4x - 115 = 7 - 115
-4x = -108

Next, divide both sides of the equation by -4:
-4x/-4 = -108/-4
x = 27

Therefore, x = 27.

c) 120/x - 12 = 10
To solve for x, we need to isolate the variable on one side of the equation.

First, add 12 to both sides of the equation:
120/x - 12 + 12 = 10 + 12
120/x = 22

Next, multiply both sides of the equation by x:
x * (120/x) = 22 * x
120 = 22x

Next, divide both sides of the equation by 22:
120/22 = 22x/22
x = 5.45

Therefore, x ≈ 5.45.

d) 59 - (8x + 32) = 11
To solve for x, we need to isolate the variable on one side of the equation.

First, simplify the expression inside the parentheses:
59 - 8x - 32 = 11

Next, combine like terms:
27 - 8x = 11

Next, subtract 27 from both sides of the equation:
27 - 8x - 27 = 11 - 27
-8x = -16

Next, divide both sides of the equation by -8:
-8x/-8 = -16/-8
x = 2

Therefore, x = 2.