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

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

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

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

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

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

Combine like terms: 6p + 3p = 9p
-2 + 6p = -3 + 9p

Solving
-2 + 6p = -3 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-2 + 6p + -9p = -3 + 9p + -9p

Combine like terms: 6p + -9p = -3p
-2 + -3p = -3 + 9p + -9p

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

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

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

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

Divide each side by '-3'.
p = 0.3333333333

Simplifying
p = 0.3333333333