5(p)+6(1-p)=8(p)+3(1-p)

Solution for 5(p)+6(1-p)=8(p)+3(1-p) equation:

Simplifying
5(p) + 6(1 + -1p) = 8(p) + 3(1 + -1p)
5p + (1 * 6 + -1p * 6) = 8(p) + 3(1 + -1p)
5p + (6 + -6p) = 8(p) + 3(1 + -1p)

Reorder the terms:
6 + 5p + -6p = 8(p) + 3(1 + -1p)

Combine like terms: 5p + -6p = -1p
6 + -1p = 8(p) + 3(1 + -1p)
6 + -1p = 8p + (1 * 3 + -1p * 3)
6 + -1p = 8p + (3 + -3p)

Reorder the terms:
6 + -1p = 3 + 8p + -3p

Combine like terms: 8p + -3p = 5p
6 + -1p = 3 + 5p

Solving
6 + -1p = 3 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
6 + -1p + -5p = 3 + 5p + -5p

Combine like terms: -1p + -5p = -6p
6 + -6p = 3 + 5p + -5p

Combine like terms: 5p + -5p = 0
6 + -6p = 3 + 0
6 + -6p = 3

Add '-6' to each side of the equation.
6 + -6 + -6p = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -6p = 3 + -6
-6p = 3 + -6

Combine like terms: 3 + -6 = -3
-6p = -3

Divide each side by '-6'.
p = 0.5

Simplifying
p = 0.5