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

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

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

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

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