(1-x)[7]+x[0]=(1-x)[1]+x[5]

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Solution for (1-x)[7]+x[0]=(1-x)[1]+x[5] equation:


Simplifying
(1 + -1x)[7] + x[0] = (1 + -1x)[1] + x[5]

Reorder the terms for easier multiplication:
7(1 + -1x) + x[0] = (1 + -1x)[1] + x[5]
(1 * 7 + -1x * 7) + x[0] = (1 + -1x)[1] + x[5]
(7 + -7x) + x[0] = (1 + -1x)[1] + x[5]

Reorder the terms for easier multiplication:
7 + -7x + 0x = (1 + -1x)[1] + x[5]

Anything times zero is zero.
7 + -7x + 0x = (1 + -1x)[1] + x[5]

Reorder the terms:
7 + 0 + -7x = (1 + -1x)[1] + x[5]

Combine like terms: 7 + 0 = 7
7 + -7x = (1 + -1x)[1] + x[5]

Reorder the terms for easier multiplication:
7 + -7x = 1(1 + -1x) + x[5]
7 + -7x = (1 * 1 + -1x * 1) + x[5]
7 + -7x = (1 + -1x) + x[5]

Reorder the terms for easier multiplication:
7 + -7x = 1 + -1x + 5x

Combine like terms: -1x + 5x = 4x
7 + -7x = 1 + 4x

Solving
7 + -7x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + -7x + -4x = 1 + 4x + -4x

Combine like terms: -7x + -4x = -11x
7 + -11x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -11x = 1 + 0
7 + -11x = 1

Add '-7' to each side of the equation.
7 + -7 + -11x = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -11x = 1 + -7
-11x = 1 + -7

Combine like terms: 1 + -7 = -6
-11x = -6

Divide each side by '-11'.
x = 0.5454545455

Simplifying
x = 0.5454545455

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