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

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

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

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

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

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

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

Solving
2 + 2p = 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 + 2p + 2p = 4 + -2p + 2p

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

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

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

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

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

Divide each side by '4'.
p = 0.5

Simplifying
p = 0.5