x-(0.225*(x-457.49)-577)-457.49=3500

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Solution for x-(0.225*(x-457.49)-577)-457.49=3500 equation: 


Simplifying
x + -1(0.225(x + -457.49) + -577) + -457.49 = 3500

Reorder the terms:
x + -1(0.225(-457.49 + x) + -577) + -457.49 = 3500
x + -1((-457.49 * 0.225 + x * 0.225) + -577) + -457.49 = 3500
x + -1((-102.93525 + 0.225x) + -577) + -457.49 = 3500

Reorder the terms:
x + -1(-102.93525 + -577 + 0.225x) + -457.49 = 3500

Combine like terms: -102.93525 + -577 = -679.93525
x + -1(-679.93525 + 0.225x) + -457.49 = 3500
x + (-679.93525 * -1 + 0.225x * -1) + -457.49 = 3500
x + (679.93525 + -0.225x) + -457.49 = 3500

Reorder the terms:
679.93525 + -457.49 + x + -0.225x = 3500

Combine like terms: 679.93525 + -457.49 = 222.44525
222.44525 + x + -0.225x = 3500

Combine like terms: x + -0.225x = 0.775x
222.44525 + 0.775x = 3500

Solving
222.44525 + 0.775x = 3500

Solving for variable 'x'.

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

Add '-222.44525' to each side of the equation.
222.44525 + -222.44525 + 0.775x = 3500 + -222.44525

Combine like terms: 222.44525 + -222.44525 = 0.00000
0.00000 + 0.775x = 3500 + -222.44525
0.775x = 3500 + -222.44525

Combine like terms: 3500 + -222.44525 = 3277.55475
0.775x = 3277.55475

Divide each side by '0.775'.
x = 4229.102903

Simplifying
x = 4229.102903

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