0.8(x+100)=0.85x-200

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Solution for 0.8(x+100)=0.85x-200 equation: 


Simplifying
0.8(x + 100) = 0.85x + -200

Reorder the terms:
0.8(100 + x) = 0.85x + -200
(100 * 0.8 + x * 0.8) = 0.85x + -200
(80 + 0.8x) = 0.85x + -200

Reorder the terms:
80 + 0.8x = -200 + 0.85x

Solving
80 + 0.8x = -200 + 0.85x

Solving for variable 'x'.

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

Add '-0.85x' to each side of the equation.
80 + 0.8x + -0.85x = -200 + 0.85x + -0.85x

Combine like terms: 0.8x + -0.85x = -0.05x
80 + -0.05x = -200 + 0.85x + -0.85x

Combine like terms: 0.85x + -0.85x = 0.00
80 + -0.05x = -200 + 0.00
80 + -0.05x = -200

Add '-80' to each side of the equation.
80 + -80 + -0.05x = -200 + -80

Combine like terms: 80 + -80 = 0
0 + -0.05x = -200 + -80
-0.05x = -200 + -80

Combine like terms: -200 + -80 = -280
-0.05x = -280

Divide each side by '-0.05'.
x = 5600

Simplifying
x = 5600

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