5p-4(1-p)=2p+3(1-p)

Solution for 5p-4(1-p)=2p+3(1-p) equation:

Simplifying
5p + -4(1 + -1p) = 2p + 3(1 + -1p)
5p + (1 * -4 + -1p * -4) = 2p + 3(1 + -1p)
5p + (-4 + 4p) = 2p + 3(1 + -1p)

Reorder the terms:
-4 + 5p + 4p = 2p + 3(1 + -1p)

Combine like terms: 5p + 4p = 9p
-4 + 9p = 2p + 3(1 + -1p)
-4 + 9p = 2p + (1 * 3 + -1p * 3)
-4 + 9p = 2p + (3 + -3p)

Reorder the terms:
-4 + 9p = 3 + 2p + -3p

Combine like terms: 2p + -3p = -1p
-4 + 9p = 3 + -1p

Solving
-4 + 9p = 3 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-4 + 9p + p = 3 + -1p + p

Combine like terms: 9p + p = 10p
-4 + 10p = 3 + -1p + p

Combine like terms: -1p + p = 0
-4 + 10p = 3 + 0
-4 + 10p = 3

Add '4' to each side of the equation.
-4 + 4 + 10p = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 10p = 3 + 4
10p = 3 + 4

Combine like terms: 3 + 4 = 7
10p = 7

Divide each side by '10'.
p = 0.7

Simplifying
p = 0.7