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 = 4p
3 + -1p = -1 + 4p

Solving
3 + -1p = -1 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
3 + -1p + -4p = -1 + 4p + -4p

Combine like terms: -1p + -4p = -5p
3 + -5p = -1 + 4p + -4p

Combine like terms: 4p + -4p = 0
3 + -5p = -1 + 0
3 + -5p = -1

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

Combine like terms: 3 + -3 = 0
0 + -5p = -1 + -3
-5p = -1 + -3

Combine like terms: -1 + -3 = -4
-5p = -4

Divide each side by '-5'.
p = 0.8

Simplifying
p = 0.8