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.40c+(.50)(500-c)=210
We move all terms to the left:
.40c+(.50)(500-c)-(210)=0
We add all the numbers together, and all the variables
.40c+(0.5)(-1c+500)-210=0
We multiply parentheses ..
.40c+(-0.5c+250)-210=0
We get rid of parentheses
.40c-0.5c+250-210=0
We add all the numbers together, and all the variables
-0.1c+40=0
We move all terms containing c to the left, all other terms to the right
-0.1c=-40
c=-40/-0.1
c=+400
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