35.5=(35x+37(100-x))/100

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Solution for 35.5=(35x+37(100-x))/100 equation:



35.5=(35x+37(100-x))/100
We move all terms to the left:
35.5-((35x+37(100-x))/100)=0
We add all the numbers together, and all the variables
-((35x+37(-1x+100))/100)+35.5=0
We multiply all the terms by the denominator
-((35x+37(-1x+100))+(35.5)*100)=0
We calculate terms in parentheses: -((35x+37(-1x+100))+(35.5)*100), so:
(35x+37(-1x+100))+(35.5)*100
We add all the numbers together, and all the variables
(35x+37(-1x+100))+3550
We calculate terms in parentheses: +(35x+37(-1x+100)), so:
35x+37(-1x+100)
We multiply parentheses
35x-37x+3700
We add all the numbers together, and all the variables
-2x+3700
Back to the equation:
+(-2x+3700)
We get rid of parentheses
-2x+3700+3550
We add all the numbers together, and all the variables
-2x+7250
Back to the equation:
-(-2x+7250)
We get rid of parentheses
2x-7250=0
We move all terms containing x to the left, all other terms to the right
2x=7250
x=7250/2
x=3625

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