(90x+15)+(103x+-4)+(78x+9)+(45x+-6)+(164x+12)=x

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Solution for (90x+15)+(103x+-4)+(78x+9)+(45x+-6)+(164x+12)=x equation:


Simplifying
(90x + 15) + (103x + -4) + (78x + 9) + (45x + -6) + (164x + 12) = x

Reorder the terms:
(15 + 90x) + (103x + -4) + (78x + 9) + (45x + -6) + (164x + 12) = x

Remove parenthesis around (15 + 90x)
15 + 90x + (103x + -4) + (78x + 9) + (45x + -6) + (164x + 12) = x

Reorder the terms:
15 + 90x + (-4 + 103x) + (78x + 9) + (45x + -6) + (164x + 12) = x

Remove parenthesis around (-4 + 103x)
15 + 90x + -4 + 103x + (78x + 9) + (45x + -6) + (164x + 12) = x

Reorder the terms:
15 + 90x + -4 + 103x + (9 + 78x) + (45x + -6) + (164x + 12) = x

Remove parenthesis around (9 + 78x)
15 + 90x + -4 + 103x + 9 + 78x + (45x + -6) + (164x + 12) = x

Reorder the terms:
15 + 90x + -4 + 103x + 9 + 78x + (-6 + 45x) + (164x + 12) = x

Remove parenthesis around (-6 + 45x)
15 + 90x + -4 + 103x + 9 + 78x + -6 + 45x + (164x + 12) = x

Reorder the terms:
15 + 90x + -4 + 103x + 9 + 78x + -6 + 45x + (12 + 164x) = x

Remove parenthesis around (12 + 164x)
15 + 90x + -4 + 103x + 9 + 78x + -6 + 45x + 12 + 164x = x

Reorder the terms:
15 + -4 + 9 + -6 + 12 + 90x + 103x + 78x + 45x + 164x = x

Combine like terms: 15 + -4 = 11
11 + 9 + -6 + 12 + 90x + 103x + 78x + 45x + 164x = x

Combine like terms: 11 + 9 = 20
20 + -6 + 12 + 90x + 103x + 78x + 45x + 164x = x

Combine like terms: 20 + -6 = 14
14 + 12 + 90x + 103x + 78x + 45x + 164x = x

Combine like terms: 14 + 12 = 26
26 + 90x + 103x + 78x + 45x + 164x = x

Combine like terms: 90x + 103x = 193x
26 + 193x + 78x + 45x + 164x = x

Combine like terms: 193x + 78x = 271x
26 + 271x + 45x + 164x = x

Combine like terms: 271x + 45x = 316x
26 + 316x + 164x = x

Combine like terms: 316x + 164x = 480x
26 + 480x = x

Solving
26 + 480x = 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.
26 + 480x + -1x = x + -1x

Combine like terms: 480x + -1x = 479x
26 + 479x = x + -1x

Combine like terms: x + -1x = 0
26 + 479x = 0

Add '-26' to each side of the equation.
26 + -26 + 479x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 479x = 0 + -26
479x = 0 + -26

Combine like terms: 0 + -26 = -26
479x = -26

Divide each side by '479'.
x = -0.05427974948

Simplifying
x = -0.05427974948

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