.05=(1000-x)/x

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Solution for .05=(1000-x)/x equation:



.05=(1000-x)/x
We move all terms to the left:
.05-((1000-x)/x)=0
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
-((-1x+1000)/x)+.05=0
We add all the numbers together, and all the variables
-((-1x+1000)/x)+0.05=0
We multiply all the terms by the denominator
-((-1x+1000)+(0.05)*x)=0
We calculate terms in parentheses: -((-1x+1000)+(0.05)*x), so:
(-1x+1000)+(0.05)*x
We multiply parentheses
(-1x+1000)+0.05x
We get rid of parentheses
-1x+0.05x+1000
We add all the numbers together, and all the variables
-0.95x+1000
Back to the equation:
-(-0.95x+1000)
We get rid of parentheses
0.95x-1000=0
We move all terms containing x to the left, all other terms to the right
0.95x=1000
x=1000/0.95
x=1052+0.60000000000002/0.95

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