x-2000=(x-9000).2

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Solution for x-2000=(x-9000).2 equation:


Simplifying
x + -2000 = (x + -9000) * 0.2

Reorder the terms:
-2000 + x = (x + -9000) * 0.2

Reorder the terms:
-2000 + x = (-9000 + x) * 0.2

Reorder the terms for easier multiplication:
-2000 + x = 0.2(-9000 + x)
-2000 + x = (-9000 * 0.2 + x * 0.2)
-2000 + x = (-1800 + 0.2x)

Solving
-2000 + x = -1800 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-2000 + x + -0.2x = -1800 + 0.2x + -0.2x

Combine like terms: x + -0.2x = 0.8x
-2000 + 0.8x = -1800 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-2000 + 0.8x = -1800 + 0.0
-2000 + 0.8x = -1800

Add '2000' to each side of the equation.
-2000 + 2000 + 0.8x = -1800 + 2000

Combine like terms: -2000 + 2000 = 0
0 + 0.8x = -1800 + 2000
0.8x = -1800 + 2000

Combine like terms: -1800 + 2000 = 200
0.8x = 200

Divide each side by '0.8'.
x = 250

Simplifying
x = 250

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