a) x - 15 = -201
To find x, we need to isolate it on one side of the equation. We can do this by adding 15 to both sides:
x - 15 + 15 = -201 + 15
x = -186

b) ( x - 16) + ( -3) = -20 - (10-20)
First, simplify the equation inside the parentheses:
x - 16 - 3 = -20 - 10 + 20
Combine like terms:
x - 19 = -10
To isolate x, we can add 19 to both sides:
x - 19 + 19 = -10 + 19
x = 9

c) 2020 - ( x -3) = -5 +(5 - 30 )
First, simplify the equation inside the parentheses:
2020 - x + 3 = -5 + 5 - 30
Combine like terms:
2023 - x = -30
To isolate x, we can subtract 2023 from both sides:
2023 - x - 2023 = -30 - 2023
-x = -2053
To solve for x, we need to multiply both sides by -1 to get rid of the negative sign:
(-1)(-x) = (-1)(-2053)
x = 2053

d) -3 + (-4) + x = -193 - (4 - 193)
First, simplify the equation inside the parentheses:
-3 - 4 + x = -193 - 4 + 193
Combine like terms:
-7 + x = -4
To isolate x, we can add 7 to both sides:
-7 + x + 7 = -4 + 7
x = 3