2p+4(1-p)=6p+3(1-p)

Solution for 2p+4(1-p)=6p+3(1-p) equation:

Simplifying
2p + 4(1 + -1p) = 6p + 3(1 + -1p)
2p + (1 * 4 + -1p * 4) = 6p + 3(1 + -1p)
2p + (4 + -4p) = 6p + 3(1 + -1p)

Reorder the terms:
4 + 2p + -4p = 6p + 3(1 + -1p)

Combine like terms: 2p + -4p = -2p
4 + -2p = 6p + 3(1 + -1p)
4 + -2p = 6p + (1 * 3 + -1p * 3)
4 + -2p = 6p + (3 + -3p)

Reorder the terms:
4 + -2p = 3 + 6p + -3p

Combine like terms: 6p + -3p = 3p
4 + -2p = 3 + 3p

Solving
4 + -2p = 3 + 3p

Solving for variable 'p'.

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

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

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

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

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

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

Combine like terms: 3 + -4 = -1
-5p = -1

Divide each side by '-5'.
p = 0.2

Simplifying
p = 0.2