5-x[4-(1-x)5]=5(1-x)(1+x)

Solution for 5-x[4-(1-x)5]=5(1-x)(1+x) equation:

Simplifying
5 + -1x[4 + -1(1 + -1x) * 5] = 5(1 + -1x)(1 + x)

Reorder the terms for easier multiplication:
5 + -1x[4 + -1 * 5(1 + -1x)] = 5(1 + -1x)(1 + x)

Multiply -1 * 5
5 + -1x[4 + -5(1 + -1x)] = 5(1 + -1x)(1 + x)
5 + -1x[4 + (1 * -5 + -1x * -5)] = 5(1 + -1x)(1 + x)
5 + -1x[4 + (-5 + 5x)] = 5(1 + -1x)(1 + x)

Combine like terms: 4 + -5 = -1
5 + -1x[-1 + 5x] = 5(1 + -1x)(1 + x)
5 + [-1 * -1x + 5x * -1x] = 5(1 + -1x)(1 + x)
5 + [1x + -5x2] = 5(1 + -1x)(1 + x)

Multiply (1 + -1x) * (1 + x)
5 + 1x + -5x2 = 5(1(1 + x) + -1x * (1 + x))
5 + 1x + -5x2 = 5((1 * 1 + x * 1) + -1x * (1 + x))
5 + 1x + -5x2 = 5((1 + 1x) + -1x * (1 + x))
5 + 1x + -5x2 = 5(1 + 1x + (1 * -1x + x * -1x))
5 + 1x + -5x2 = 5(1 + 1x + (-1x + -1x2))

Combine like terms: 1x + -1x = 0
5 + 1x + -5x2 = 5(1 + 0 + -1x2)
5 + 1x + -5x2 = 5(1 + -1x2)
5 + 1x + -5x2 = (1 * 5 + -1x2 * 5)
5 + 1x + -5x2 = (5 + -5x2)

Add '-5' to each side of the equation.
5 + 1x + -5 + -5x2 = 5 + -5 + -5x2

Reorder the terms:
5 + -5 + 1x + -5x2 = 5 + -5 + -5x2

Combine like terms: 5 + -5 = 0
0 + 1x + -5x2 = 5 + -5 + -5x2
1x + -5x2 = 5 + -5 + -5x2

Combine like terms: 5 + -5 = 0
1x + -5x2 = 0 + -5x2
1x + -5x2 = -5x2

Add '5x2' to each side of the equation.
1x + -5x2 + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
1x + 0 = -5x2 + 5x2
1x = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
1x = 0

Solving
1x = 0

Solving for variable 'x'.

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

Divide each side by '1'.
x = 0

Simplifying
x = 0