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

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

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

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

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

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

Combine like terms: 2p + 3p = 5p
4 + -2p = -3 + 5p

Solving
4 + -2p = -3 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
4 + -2p + -5p = -3 + 5p + -5p

Combine like terms: -2p + -5p = -7p
4 + -7p = -3 + 5p + -5p

Combine like terms: 5p + -5p = 0
4 + -7p = -3 + 0
4 + -7p = -3

Add '-4' to each side of the equation.
4 + -4 + -7p = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -7p = -3 + -4
-7p = -3 + -4

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

Divide each side by '-7'.
p = 1

Simplifying
p = 1