4p-3(1-p)=3p+5(1-p)

Solution for 4p-3(1-p)=3p+5(1-p) equation:

Simplifying
4p + -3(1 + -1p) = 3p + 5(1 + -1p)
4p + (1 * -3 + -1p * -3) = 3p + 5(1 + -1p)
4p + (-3 + 3p) = 3p + 5(1 + -1p)

Reorder the terms:
-3 + 4p + 3p = 3p + 5(1 + -1p)

Combine like terms: 4p + 3p = 7p
-3 + 7p = 3p + 5(1 + -1p)
-3 + 7p = 3p + (1 * 5 + -1p * 5)
-3 + 7p = 3p + (5 + -5p)

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

Combine like terms: 3p + -5p = -2p
-3 + 7p = 5 + -2p

Solving
-3 + 7p = 5 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
-3 + 7p + 2p = 5 + -2p + 2p

Combine like terms: 7p + 2p = 9p
-3 + 9p = 5 + -2p + 2p

Combine like terms: -2p + 2p = 0
-3 + 9p = 5 + 0
-3 + 9p = 5

Add '3' to each side of the equation.
-3 + 3 + 9p = 5 + 3

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

Combine like terms: 5 + 3 = 8
9p = 8

Divide each side by '9'.
p = 0.8888888889

Simplifying
p = 0.8888888889