(((x*4)-11*90)*2)=x

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Solution for (((x*4)-11*90)*2)=x equation:


Simplifying
(((x * 4) + -11 * 90) * 2) = x

Reorder the terms for easier multiplication:
(((4x) + -11 * 90) * 2) = x

Multiply -11 * 90
(((4x) + -990) * 2) = x

Reorder the terms:
((-990 + (4x)) * 2) = x

Reorder the terms for easier multiplication:
(2(-990 + (4x))) = x
((-990 * 2 + (4x) * 2)) = x
((-1980 + 8x)) = x
(-1980 + 8x) = x

Remove parenthesis around (-1980 + 8x)
-1980 + 8x = x

Solving
-1980 + 8x = 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.
-1980 + 8x + -1x = x + -1x

Combine like terms: 8x + -1x = 7x
-1980 + 7x = x + -1x

Combine like terms: x + -1x = 0
-1980 + 7x = 0

Add '1980' to each side of the equation.
-1980 + 1980 + 7x = 0 + 1980

Combine like terms: -1980 + 1980 = 0
0 + 7x = 0 + 1980
7x = 0 + 1980

Combine like terms: 0 + 1980 = 1980
7x = 1980

Divide each side by '7'.
x = 282.8571429

Simplifying
x = 282.8571429

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