((7500-200x)/200x)=0.3

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Solution for ((7500-200x)/200x)=0.3 equation:



((7500-200x)/200x)=0.3
We move all terms to the left:
((7500-200x)/200x)-(0.3)=0
Domain of the equation: 200x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
((-200x+7500)/200x)-(0.3)=0
We add all the numbers together, and all the variables
((-200x+7500)/200x)-0.3=0
We multiply all the terms by the denominator
((-200x+7500)-(0.3)*200x)=0
We calculate terms in parentheses: +((-200x+7500)-(0.3)*200x), so:
(-200x+7500)-(0.3)*200x
We multiply parentheses
(-200x+7500)-60x
We get rid of parentheses
-200x-60x+7500
We add all the numbers together, and all the variables
-260x+7500
Back to the equation:
+(-260x+7500)
We get rid of parentheses
-260x+7500=0
We move all terms containing x to the left, all other terms to the right
-260x=-7500
x=-7500/-260
x=28+11/13

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