6676=x-(8000*0.175)-((x-8000)*.225)

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Solution for 6676=x-(8000*0.175)-((x-8000)*.225) equation: 


Simplifying
6676 = x + -1(8000 * 0.175) + -1((x + -8000) * 0.225)

Multiply 8000 * 0.175
6676 = x + -1(1400) + -1((x + -8000) * 0.225)

Multiply -1 * 1400
6676 = x + -1400 + -1((x + -8000) * 0.225)

Reorder the terms:
6676 = x + -1400 + -1((-8000 + x) * 0.225)

Reorder the terms for easier multiplication:
6676 = x + -1400 + -1(0.225(-8000 + x))
6676 = x + -1400 + -1((-8000 * 0.225 + x * 0.225))
6676 = x + -1400 + -1((-1800 + 0.225x))
6676 = x + -1400 + (-1800 * -1 + 0.225x * -1)
6676 = x + -1400 + (1800 + -0.225x)

Reorder the terms:
6676 = -1400 + 1800 + x + -0.225x

Combine like terms: -1400 + 1800 = 400
6676 = 400 + x + -0.225x

Combine like terms: x + -0.225x = 0.775x
6676 = 400 + 0.775x

Solving
6676 = 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.
6676 + -0.775x = 400 + 0.775x + -0.775x

Combine like terms: 0.775x + -0.775x = 0.000
6676 + -0.775x = 400 + 0.000
6676 + -0.775x = 400

Add '-6676' to each side of the equation.
6676 + -6676 + -0.775x = 400 + -6676

Combine like terms: 6676 + -6676 = 0
0 + -0.775x = 400 + -6676
-0.775x = 400 + -6676

Combine like terms: 400 + -6676 = -6276
-0.775x = -6276

Divide each side by '-0.775'.
x = 8098.064516

Simplifying
x = 8098.064516

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