x+.5x+.25x+.125x+.0625x=100

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Solution for x+.5x+.25x+.125x+.0625x=100 equation: 



x+.5x+.25x+.125x+.0625x=100

We move all terms to the left:

x+.5x+.25x+.125x+.0625x-(100)=0

We add all the numbers together, and all the variables

1.9375x-100=0

We move all terms containing x to the left, all other terms to the right

1.9375x=100

x=100/1.9375

x=51+1/1.6315789473684

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