x-(0.275*(x-457.49)-790.58)-457.49=10000

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Solution for x-(0.275*(x-457.49)-790.58)-457.49=10000 equation: 


Simplifying
x + -1(0.275(x + -457.49) + -790.58) + -457.49 = 10000

Reorder the terms:
x + -1(0.275(-457.49 + x) + -790.58) + -457.49 = 10000
x + -1((-457.49 * 0.275 + x * 0.275) + -790.58) + -457.49 = 10000
x + -1((-125.80975 + 0.275x) + -790.58) + -457.49 = 10000

Reorder the terms:
x + -1(-125.80975 + -790.58 + 0.275x) + -457.49 = 10000

Combine like terms: -125.80975 + -790.58 = -916.38975
x + -1(-916.38975 + 0.275x) + -457.49 = 10000
x + (-916.38975 * -1 + 0.275x * -1) + -457.49 = 10000
x + (916.38975 + -0.275x) + -457.49 = 10000

Reorder the terms:
916.38975 + -457.49 + x + -0.275x = 10000

Combine like terms: 916.38975 + -457.49 = 458.89975
458.89975 + x + -0.275x = 10000

Combine like terms: x + -0.275x = 0.725x
458.89975 + 0.725x = 10000

Solving
458.89975 + 0.725x = 10000

Solving for variable 'x'.

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

Add '-458.89975' to each side of the equation.
458.89975 + -458.89975 + 0.725x = 10000 + -458.89975

Combine like terms: 458.89975 + -458.89975 = 0.00000
0.00000 + 0.725x = 10000 + -458.89975
0.725x = 10000 + -458.89975

Combine like terms: 10000 + -458.89975 = 9541.10025
0.725x = 9541.10025

Divide each side by '0.725'.
x = 13160.13828

Simplifying
x = 13160.13828

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