0.3=(x-100)/x

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Solution for 0.3=(x-100)/x equation:



0.3=(x-100)/x
We move all terms to the left:
0.3-((x-100)/x)=0
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We multiply all the terms by the denominator
-((x-100)+(0.3)*x)=0
We calculate terms in parentheses: -((x-100)+(0.3)*x), so:
(x-100)+(0.3)*x
We multiply parentheses
(x-100)+0.3x
We get rid of parentheses
x+0.3x-100
We add all the numbers together, and all the variables
1.3x-100
Back to the equation:
-(1.3x-100)
We get rid of parentheses
-1.3x+100=0
We move all terms containing x to the left, all other terms to the right
-1.3x=-100
x=-100/-1.3
x=76+1/1.0833333333333

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