(((0.5*x+0.5)*0.5+0.5)*0.5+0.5)*0.5+0.5=x

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Solution for (((0.5*x+0.5)*0.5+0.5)*0.5+0.5)*0.5+0.5=x equation: 


Simplifying
(((0.5x + 0.5) * 0.5 + 0.5) * 0.5 + 0.5) * 0.5 + 0.5 = x

Reorder the terms:
(((0.5 + 0.5x) * 0.5 + 0.5) * 0.5 + 0.5) * 0.5 + 0.5 = x

Reorder the terms for easier multiplication:
((0.5(0.5 + 0.5x) + 0.5) * 0.5 + 0.5) * 0.5 + 0.5 = x
(((0.5 * 0.5 + 0.5x * 0.5) + 0.5) * 0.5 + 0.5) * 0.5 + 0.5 = x
(((0.25 + 0.25x) + 0.5) * 0.5 + 0.5) * 0.5 + 0.5 = x

Reorder the terms:
((0.25 + 0.5 + 0.25x) * 0.5 + 0.5) * 0.5 + 0.5 = x

Combine like terms: 0.25 + 0.5 = 0.75
((0.75 + 0.25x) * 0.5 + 0.5) * 0.5 + 0.5 = x

Reorder the terms for easier multiplication:
(0.5(0.75 + 0.25x) + 0.5) * 0.5 + 0.5 = x
((0.75 * 0.5 + 0.25x * 0.5) + 0.5) * 0.5 + 0.5 = x
((0.375 + 0.125x) + 0.5) * 0.5 + 0.5 = x

Reorder the terms:
(0.375 + 0.5 + 0.125x) * 0.5 + 0.5 = x

Combine like terms: 0.375 + 0.5 = 0.875
(0.875 + 0.125x) * 0.5 + 0.5 = x

Reorder the terms for easier multiplication:
0.5(0.875 + 0.125x) + 0.5 = x
(0.875 * 0.5 + 0.125x * 0.5) + 0.5 = x
(0.4375 + 0.0625x) + 0.5 = x

Reorder the terms:
0.4375 + 0.5 + 0.0625x = x

Combine like terms: 0.4375 + 0.5 = 0.9375
0.9375 + 0.0625x = x

Solving
0.9375 + 0.0625x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0.9375 + 0.0625x + -1x = x + -1x

Combine like terms: 0.0625x + -1x = -0.9375x
0.9375 + -0.9375x = x + -1x

Combine like terms: x + -1x = 0
0.9375 + -0.9375x = 0

Add '-0.9375' to each side of the equation.
0.9375 + -0.9375 + -0.9375x = 0 + -0.9375

Combine like terms: 0.9375 + -0.9375 = 0.0000
0.0000 + -0.9375x = 0 + -0.9375
-0.9375x = 0 + -0.9375

Combine like terms: 0 + -0.9375 = -0.9375
-0.9375x = -0.9375

Divide each side by '-0.9375'.
x = 1

Simplifying
x = 1

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