.10x+80=.20(100+x)

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Solution for .10x+80=.20(100+x) equation:


Simplifying
0.10x + 80 = 0.20(100 + x)

Reorder the terms:
80 + 0.10x = 0.20(100 + x)
80 + 0.10x = (100 * 0.20 + x * 0.20)
80 + 0.10x = (20 + 0.20x)

Solving
80 + 0.10x = 20 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
80 + 0.10x + -0.20x = 20 + 0.20x + -0.20x

Combine like terms: 0.10x + -0.20x = -0.1x
80 + -0.1x = 20 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
80 + -0.1x = 20 + 0.00
80 + -0.1x = 20

Add '-80' to each side of the equation.
80 + -80 + -0.1x = 20 + -80

Combine like terms: 80 + -80 = 0
0 + -0.1x = 20 + -80
-0.1x = 20 + -80

Combine like terms: 20 + -80 = -60
-0.1x = -60

Divide each side by '-0.1'.
x = 600

Simplifying
x = 600

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