3p+(1-p)(2)=2p+(1-p)(4)

Solution for 3p+(1-p)(2)=2p+(1-p)(4) equation:

Simplifying
3p + (1 + -1p)(2) = 2p + (1 + -1p)(4)

Reorder the terms for easier multiplication:
3p + 2(1 + -1p) = 2p + (1 + -1p)(4)
3p + (1 * 2 + -1p * 2) = 2p + (1 + -1p)(4)
3p + (2 + -2p) = 2p + (1 + -1p)(4)

Reorder the terms:
2 + 3p + -2p = 2p + (1 + -1p)(4)

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

Reorder the terms for easier multiplication:
2 + 1p = 2p + 4(1 + -1p)
2 + 1p = 2p + (1 * 4 + -1p * 4)
2 + 1p = 2p + (4 + -4p)

Reorder the terms:
2 + 1p = 4 + 2p + -4p

Combine like terms: 2p + -4p = -2p
2 + 1p = 4 + -2p

Solving
2 + 1p = 4 + -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.
2 + 1p + 2p = 4 + -2p + 2p

Combine like terms: 1p + 2p = 3p
2 + 3p = 4 + -2p + 2p

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

Add '-2' to each side of the equation.
2 + -2 + 3p = 4 + -2

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

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

Divide each side by '3'.
p = 0.6666666667

Simplifying
p = 0.6666666667