40000-x=.2*(100000-x)

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Solution for 40000-x=.2*(100000-x) equation:


Simplifying
40000 + -1x = 0.2(100000 + -1x)
40000 + -1x = (100000 * 0.2 + -1x * 0.2)
40000 + -1x = (20000 + -0.2x)

Solving
40000 + -1x = 20000 + -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.
40000 + -1x + 0.2x = 20000 + -0.2x + 0.2x

Combine like terms: -1x + 0.2x = -0.8x
40000 + -0.8x = 20000 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
40000 + -0.8x = 20000 + 0.0
40000 + -0.8x = 20000

Add '-40000' to each side of the equation.
40000 + -40000 + -0.8x = 20000 + -40000

Combine like terms: 40000 + -40000 = 0
0 + -0.8x = 20000 + -40000
-0.8x = 20000 + -40000

Combine like terms: 20000 + -40000 = -20000
-0.8x = -20000

Divide each side by '-0.8'.
x = 25000

Simplifying
x = 25000

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