3p+6(1-p)=p+(32-x)(1-p)

Solution for 3p+6(1-p)=p+(32-x)(1-p) equation:

Simplifying
3p + 6(1 + -1p) = p + (32 + -1x)(1 + -1p)
3p + (1 * 6 + -1p * 6) = p + (32 + -1x)(1 + -1p)
3p + (6 + -6p) = p + (32 + -1x)(1 + -1p)

Reorder the terms:
6 + 3p + -6p = p + (32 + -1x)(1 + -1p)

Combine like terms: 3p + -6p = -3p
6 + -3p = p + (32 + -1x)(1 + -1p)

Multiply (32 + -1x) * (1 + -1p)
6 + -3p = p + (32(1 + -1p) + -1x * (1 + -1p))
6 + -3p = p + ((1 * 32 + -1p * 32) + -1x * (1 + -1p))
6 + -3p = p + ((32 + -32p) + -1x * (1 + -1p))
6 + -3p = p + (32 + -32p + (1 * -1x + -1p * -1x))

Reorder the terms:
6 + -3p = p + (32 + -32p + (1px + -1x))
6 + -3p = p + (32 + -32p + (1px + -1x))
6 + -3p = p + (32 + -32p + 1px + -1x)

Reorder the terms:
6 + -3p = 32 + p + -32p + 1px + -1x

Combine like terms: p + -32p = -31p
6 + -3p = 32 + -31p + 1px + -1x

Solving
6 + -3p = 32 + -31p + 1px + -1x

Solving for variable 'p'.

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

Add '31p' to each side of the equation.
6 + -3p + 31p = 32 + -31p + 1px + 31p + -1x

Combine like terms: -3p + 31p = 28p
6 + 28p = 32 + -31p + 1px + 31p + -1x

Reorder the terms:
6 + 28p = 32 + -31p + 31p + 1px + -1x

Combine like terms: -31p + 31p = 0
6 + 28p = 32 + 0 + 1px + -1x
6 + 28p = 32 + 1px + -1x

Add '-1px' to each side of the equation.
6 + 28p + -1px = 32 + 1px + -1px + -1x

Combine like terms: 1px + -1px = 0
6 + 28p + -1px = 32 + 0 + -1x
6 + 28p + -1px = 32 + -1x

Add '-6' to each side of the equation.
6 + 28p + -6 + -1px = 32 + -6 + -1x

Reorder the terms:
6 + -6 + 28p + -1px = 32 + -6 + -1x

Combine like terms: 6 + -6 = 0
0 + 28p + -1px = 32 + -6 + -1x
28p + -1px = 32 + -6 + -1x

Combine like terms: 32 + -6 = 26
28p + -1px = 26 + -1x

Reorder the terms:
-26 + 28p + -1px + x = 26 + -1x + -26 + x

Reorder the terms:
-26 + 28p + -1px + x = 26 + -26 + -1x + x

Combine like terms: 26 + -26 = 0
-26 + 28p + -1px + x = 0 + -1x + x
-26 + 28p + -1px + x = -1x + x

Combine like terms: -1x + x = 0
-26 + 28p + -1px + x = 0

The solution to this equation could not be determined.