x=20000+x+.80x+x-(4000+.20x+20000-x)

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Solution for x=20000+x+.80x+x-(4000+.20x+20000-x) equation:


Simplifying
x = 20000 + x + 0.80x + x + -1(4000 + 0.20x + 20000 + -1x)

Reorder the terms:
x = 20000 + x + 0.80x + x + -1(4000 + 20000 + 0.20x + -1x)

Combine like terms: 4000 + 20000 = 24000
x = 20000 + x + 0.80x + x + -1(24000 + 0.20x + -1x)

Combine like terms: 0.20x + -1x = -0.8x
x = 20000 + x + 0.80x + x + -1(24000 + -0.8x)
x = 20000 + x + 0.80x + x + (24000 * -1 + -0.8x * -1)
x = 20000 + x + 0.80x + x + (-24000 + 0.8x)

Reorder the terms:
x = 20000 + -24000 + x + 0.80x + x + 0.8x

Combine like terms: 20000 + -24000 = -4000
x = -4000 + x + 0.80x + x + 0.8x

Combine like terms: x + 0.80x = 1.8x
x = -4000 + 1.8x + x + 0.8x

Combine like terms: 1.8x + x = 2.8x
x = -4000 + 2.8x + 0.8x

Combine like terms: 2.8x + 0.8x = 3.6x
x = -4000 + 3.6x

Solving
x = -4000 + 3.6x

Solving for variable 'x'.

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

Add '-3.6x' to each side of the equation.
x + -3.6x = -4000 + 3.6x + -3.6x

Combine like terms: x + -3.6x = -2.6x
-2.6x = -4000 + 3.6x + -3.6x

Combine like terms: 3.6x + -3.6x = 0.0
-2.6x = -4000 + 0.0
-2.6x = -4000

Divide each side by '-2.6'.
x = 1538.461538

Simplifying
x = 1538.461538

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