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

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

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

Multiply -1 * 1
5p + -1(1 + -1p) = 2p + 5(1 + -1p)
5p + (1 * -1 + -1p * -1) = 2p + 5(1 + -1p)
5p + (-1 + 1p) = 2p + 5(1 + -1p)

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

Combine like terms: 5p + 1p = 6p
-1 + 6p = 2p + 5(1 + -1p)
-1 + 6p = 2p + (1 * 5 + -1p * 5)
-1 + 6p = 2p + (5 + -5p)

Reorder the terms:
-1 + 6p = 5 + 2p + -5p

Combine like terms: 2p + -5p = -3p
-1 + 6p = 5 + -3p

Solving
-1 + 6p = 5 + -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.
-1 + 6p + 3p = 5 + -3p + 3p

Combine like terms: 6p + 3p = 9p
-1 + 9p = 5 + -3p + 3p

Combine like terms: -3p + 3p = 0
-1 + 9p = 5 + 0
-1 + 9p = 5

Add '1' to each side of the equation.
-1 + 1 + 9p = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 9p = 5 + 1
9p = 5 + 1

Combine like terms: 5 + 1 = 6
9p = 6

Divide each side by '9'.
p = 0.6666666667

Simplifying
p = 0.6666666667