2p-5(1-p)=-5p+3(1-p)

Solution for 2p-5(1-p)=-5p+3(1-p) equation:

Simplifying
2p + -5(1 + -1p) = -5p + 3(1 + -1p)
2p + (1 * -5 + -1p * -5) = -5p + 3(1 + -1p)
2p + (-5 + 5p) = -5p + 3(1 + -1p)

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

Combine like terms: 2p + 5p = 7p
-5 + 7p = -5p + 3(1 + -1p)
-5 + 7p = -5p + (1 * 3 + -1p * 3)
-5 + 7p = -5p + (3 + -3p)

Reorder the terms:
-5 + 7p = 3 + -5p + -3p

Combine like terms: -5p + -3p = -8p
-5 + 7p = 3 + -8p

Solving
-5 + 7p = 3 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
-5 + 7p + 8p = 3 + -8p + 8p

Combine like terms: 7p + 8p = 15p
-5 + 15p = 3 + -8p + 8p

Combine like terms: -8p + 8p = 0
-5 + 15p = 3 + 0
-5 + 15p = 3

Add '5' to each side of the equation.
-5 + 5 + 15p = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 15p = 3 + 5
15p = 3 + 5

Combine like terms: 3 + 5 = 8
15p = 8

Divide each side by '15'.
p = 0.5333333333

Simplifying
p = 0.5333333333