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

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

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

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

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

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

Reorder the terms:
-2 + 7p = 5 + 1p + -5p

Combine like terms: 1p + -5p = -4p
-2 + 7p = 5 + -4p

Solving
-2 + 7p = 5 + -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.
-2 + 7p + 4p = 5 + -4p + 4p

Combine like terms: 7p + 4p = 11p
-2 + 11p = 5 + -4p + 4p

Combine like terms: -4p + 4p = 0
-2 + 11p = 5 + 0
-2 + 11p = 5

Add '2' to each side of the equation.
-2 + 2 + 11p = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 11p = 5 + 2
11p = 5 + 2

Combine like terms: 5 + 2 = 7
11p = 7

Divide each side by '11'.
p = 0.6363636364

Simplifying
p = 0.6363636364