(1-x)[5]+x[0]=(1-x)[4]+x[2]

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Solution for (1-x)[5]+x[0]=(1-x)[4]+x[2] equation:


Simplifying
(1 + -1x)[5] + x[0] = (1 + -1x)[4] + x[2]

Reorder the terms for easier multiplication:
5(1 + -1x) + x[0] = (1 + -1x)[4] + x[2]
(1 * 5 + -1x * 5) + x[0] = (1 + -1x)[4] + x[2]
(5 + -5x) + x[0] = (1 + -1x)[4] + x[2]

Reorder the terms for easier multiplication:
5 + -5x + 0x = (1 + -1x)[4] + x[2]

Anything times zero is zero.
5 + -5x + 0x = (1 + -1x)[4] + x[2]

Reorder the terms:
5 + 0 + -5x = (1 + -1x)[4] + x[2]

Combine like terms: 5 + 0 = 5
5 + -5x = (1 + -1x)[4] + x[2]

Reorder the terms for easier multiplication:
5 + -5x = 4(1 + -1x) + x[2]
5 + -5x = (1 * 4 + -1x * 4) + x[2]
5 + -5x = (4 + -4x) + x[2]

Reorder the terms for easier multiplication:
5 + -5x = 4 + -4x + 2x

Combine like terms: -4x + 2x = -2x
5 + -5x = 4 + -2x

Solving
5 + -5x = 4 + -2x

Solving for variable 'x'.

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

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

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

Combine like terms: -2x + 2x = 0
5 + -3x = 4 + 0
5 + -3x = 4

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

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

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

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

Simplifying
x = 0.3333333333

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