This equation was posted on another site, but it is not available to ask questions on that site, so hoping someone here can help me. The equation was posted as an answer to the question "how much 92.5% pure silver and how much pure (100%) silver needs to be mixed to obtain a 94% mixture with a resultant 100g of the 94% alloy. Here is the solution provided:

Beginning of the solution

We now write an equation relating the amounts of pure silver in the two "input" mixtures and in the "output" mixture:

"x" grams at 92.5% silver + (100-x) grams at 100% = 100g at 94%

(x)(0.925) + (100-x)(1.0) = (100)(0.94)

0.925x + 100 - x = 94

6 = 0.075x

6000 = 75x

6000/75 = x

80 = x

End of solution

I understand most of the equation but do not get how the equation was solved to give 6=0.075x. The rest I can do. Can someone help me get from the second line to the third line...all the rest makes sense. (I think it is the 2 x's that is throwing me).

TIA