4p+6(1-p)=5p+3(1-p)

Solution for 4p+6(1-p)=5p+3(1-p) equation:

Simplifying
4p + 6(1 + -1p) = 5p + 3(1 + -1p)
4p + (1 * 6 + -1p * 6) = 5p + 3(1 + -1p)
4p + (6 + -6p) = 5p + 3(1 + -1p)

Reorder the terms:
6 + 4p + -6p = 5p + 3(1 + -1p)

Combine like terms: 4p + -6p = -2p
6 + -2p = 5p + 3(1 + -1p)
6 + -2p = 5p + (1 * 3 + -1p * 3)
6 + -2p = 5p + (3 + -3p)

Reorder the terms:
6 + -2p = 3 + 5p + -3p

Combine like terms: 5p + -3p = 2p
6 + -2p = 3 + 2p

Solving
6 + -2p = 3 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
6 + -2p + -2p = 3 + 2p + -2p

Combine like terms: -2p + -2p = -4p
6 + -4p = 3 + 2p + -2p

Combine like terms: 2p + -2p = 0
6 + -4p = 3 + 0
6 + -4p = 3

Add '-6' to each side of the equation.
6 + -6 + -4p = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -4p = 3 + -6
-4p = 3 + -6

Combine like terms: 3 + -6 = -3
-4p = -3

Divide each side by '-4'.
p = 0.75

Simplifying
p = 0.75