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

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

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

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

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

Reorder the terms:
3 + -5p = -1 + 2p + 1p

Combine like terms: 2p + 1p = 3p
3 + -5p = -1 + 3p

Solving
3 + -5p = -1 + 3p

Solving for variable 'p'.

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

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

Combine like terms: -5p + -3p = -8p
3 + -8p = -1 + 3p + -3p

Combine like terms: 3p + -3p = 0
3 + -8p = -1 + 0
3 + -8p = -1

Add '-3' to each side of the equation.
3 + -3 + -8p = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -8p = -1 + -3
-8p = -1 + -3

Combine like terms: -1 + -3 = -4
-8p = -4

Divide each side by '-8'.
p = 0.5

Simplifying
p = 0.5