X+((10000-x)(.2))=5000

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Solution for X+((10000-x)(.2))=5000 equation: 


Simplifying
X + ((10000 + -1x)(0.2)) = 5000

Reorder the terms for easier multiplication:
X + (0.2(10000 + -1x)) = 5000
X + ((10000 * 0.2 + -1x * 0.2)) = 5000
X + ((2000 + -0.2x)) = 5000
X + (2000 + -0.2x) = 5000

Remove parenthesis around (2000 + -0.2x)
X + 2000 + -0.2x = 5000

Reorder the terms:
2000 + X + -0.2x = 5000

Solving
2000 + X + -0.2x = 5000

Solving for variable 'X'.

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

Add '-2000' to each side of the equation.
2000 + X + -2000 + -0.2x = 5000 + -2000

Reorder the terms:
2000 + -2000 + X + -0.2x = 5000 + -2000

Combine like terms: 2000 + -2000 = 0
0 + X + -0.2x = 5000 + -2000
X + -0.2x = 5000 + -2000

Combine like terms: 5000 + -2000 = 3000
X + -0.2x = 3000

Add '0.2x' to each side of the equation.
X + -0.2x + 0.2x = 3000 + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
X + 0.0 = 3000 + 0.2x
X = 3000 + 0.2x

Simplifying
X = 3000 + 0.2x

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