7909=x-(8000*0.175)-((x-8000)*.225)

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Solution for 7909=x-(8000*0.175)-((x-8000)*.225) equation: 


Simplifying
7909 = x + -1(8000 * 0.175) + -1((x + -8000) * 0.225)

Multiply 8000 * 0.175
7909 = x + -1(1400) + -1((x + -8000) * 0.225)

Multiply -1 * 1400
7909 = x + -1400 + -1((x + -8000) * 0.225)

Reorder the terms:
7909 = x + -1400 + -1((-8000 + x) * 0.225)

Reorder the terms for easier multiplication:
7909 = x + -1400 + -1(0.225(-8000 + x))
7909 = x + -1400 + -1((-8000 * 0.225 + x * 0.225))
7909 = x + -1400 + -1((-1800 + 0.225x))
7909 = x + -1400 + (-1800 * -1 + 0.225x * -1)
7909 = x + -1400 + (1800 + -0.225x)

Reorder the terms:
7909 = -1400 + 1800 + x + -0.225x

Combine like terms: -1400 + 1800 = 400
7909 = 400 + x + -0.225x

Combine like terms: x + -0.225x = 0.775x
7909 = 400 + 0.775x

Solving
7909 = 400 + 0.775x

Solving for variable 'x'.

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

Add '-0.775x' to each side of the equation.
7909 + -0.775x = 400 + 0.775x + -0.775x

Combine like terms: 0.775x + -0.775x = 0.000
7909 + -0.775x = 400 + 0.000
7909 + -0.775x = 400

Add '-7909' to each side of the equation.
7909 + -7909 + -0.775x = 400 + -7909

Combine like terms: 7909 + -7909 = 0
0 + -0.775x = 400 + -7909
-0.775x = 400 + -7909

Combine like terms: 400 + -7909 = -7509
-0.775x = -7509

Divide each side by '-0.775'.
x = 9689.032258

Simplifying
x = 9689.032258

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