206=(10(1+x))/(0.08-x)

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Solution for 206=(10(1+x))/(0.08-x) equation:



206=(10(1+x))/(0.08-x)
We move all terms to the left:
206-((10(1+x))/(0.08-x))=0
Domain of the equation: (0.08-x))!=0
We move all terms containing x to the left, all other terms to the right
-x)!=-0.08
x!=-0.08/1
x!=-0.08
x∈R
We add all the numbers together, and all the variables
-((10(x+1))/(-1x+0.08))+206=0
We multiply all the terms by the denominator
-((10(x+1))+206*(-1x+0.08))=0
We calculate terms in parentheses: -((10(x+1))+206*(-1x+0.08)), so:
(10(x+1))+206*(-1x+0.08)
We multiply parentheses
(10(x+1))-206x+16.48
We calculate terms in parentheses: +(10(x+1)), so:
10(x+1)
We multiply parentheses
10x+10
Back to the equation:
+(10x+10)
We add all the numbers together, and all the variables
-206x+(10x+10)+16.48
We get rid of parentheses
-206x+10x+10+16.48
We add all the numbers together, and all the variables
-196x+26.48
Back to the equation:
-(-196x+26.48)
We get rid of parentheses
196x-26.48=0
We move all terms containing x to the left, all other terms to the right
196x=26.48
x=26.48/196
x=10.677419354839/79.032258064516

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