21P+116(1-P)=89P+3(1-P)

Solution for 21P+116(1-P)=89P+3(1-P) equation:

Simplifying
21P + 116(1 + -1P) = 89P + 3(1 + -1P)
21P + (1 * 116 + -1P * 116) = 89P + 3(1 + -1P)
21P + (116 + -116P) = 89P + 3(1 + -1P)

Reorder the terms:
116 + 21P + -116P = 89P + 3(1 + -1P)

Combine like terms: 21P + -116P = -95P
116 + -95P = 89P + 3(1 + -1P)
116 + -95P = 89P + (1 * 3 + -1P * 3)
116 + -95P = 89P + (3 + -3P)

Reorder the terms:
116 + -95P = 3 + 89P + -3P

Combine like terms: 89P + -3P = 86P
116 + -95P = 3 + 86P

Solving
116 + -95P = 3 + 86P

Solving for variable 'P'.

Move all terms containing P to the left, all other terms to the right.

Add '-86P' to each side of the equation.
116 + -95P + -86P = 3 + 86P + -86P

Combine like terms: -95P + -86P = -181P
116 + -181P = 3 + 86P + -86P

Combine like terms: 86P + -86P = 0
116 + -181P = 3 + 0
116 + -181P = 3

Add '-116' to each side of the equation.
116 + -116 + -181P = 3 + -116

Combine like terms: 116 + -116 = 0
0 + -181P = 3 + -116
-181P = 3 + -116

Combine like terms: 3 + -116 = -113
-181P = -113

Divide each side by '-181'.
P = 0.6243093923

Simplifying
P = 0.6243093923