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

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

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

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

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

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

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

Solving
3 + -1p = 1 + 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.
3 + -1p + -2p = 1 + 2p + -2p

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

Combine like terms: 2p + -2p = 0
3 + -3p = 1 + 0
3 + -3p = 1

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

Combine like terms: 3 + -3 = 0
0 + -3p = 1 + -3
-3p = 1 + -3

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

Divide each side by '-3'.
p = 0.6666666667

Simplifying
p = 0.6666666667