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

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

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

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

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

Reorder the terms:
-3 + 8p = 1 + -3p + -1p

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

Solving
-3 + 8p = 1 + -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.
-3 + 8p + 4p = 1 + -4p + 4p

Combine like terms: 8p + 4p = 12p
-3 + 12p = 1 + -4p + 4p

Combine like terms: -4p + 4p = 0
-3 + 12p = 1 + 0
-3 + 12p = 1

Add '3' to each side of the equation.
-3 + 3 + 12p = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 12p = 1 + 3
12p = 1 + 3

Combine like terms: 1 + 3 = 4
12p = 4

Divide each side by '12'.
p = 0.3333333333

Simplifying
p = 0.3333333333