0.4x-0.05(x-4000)=-500

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Solution for 0.4x-0.05(x-4000)=-500 equation: 


Simplifying
0.4x + -0.05(x + -4000) = -500

Reorder the terms:
0.4x + -0.05(-4000 + x) = -500
0.4x + (-4000 * -0.05 + x * -0.05) = -500
0.4x + (200 + -0.05x) = -500

Reorder the terms:
200 + 0.4x + -0.05x = -500

Combine like terms: 0.4x + -0.05x = 0.35x
200 + 0.35x = -500

Solving
200 + 0.35x = -500

Solving for variable 'x'.

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

Add '-200' to each side of the equation.
200 + -200 + 0.35x = -500 + -200

Combine like terms: 200 + -200 = 0
0 + 0.35x = -500 + -200
0.35x = -500 + -200

Combine like terms: -500 + -200 = -700
0.35x = -700

Divide each side by '0.35'.
x = -2000

Simplifying
x = -2000

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