.5=(3.5-x)/x

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Solution for .5=(3.5-x)/x equation:



.5=(3.5-x)/x
We move all terms to the left:
.5-((3.5-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+3.5)/x)+.5=0
We add all the numbers together, and all the variables
-((-1x+3.5)/x)+0.5=0
We multiply all the terms by the denominator
-((-1x+3.5)+(0.5)*x)=0
We calculate terms in parentheses: -((-1x+3.5)+(0.5)*x), so:
(-1x+3.5)+(0.5)*x
We multiply parentheses
(-1x+3.5)+0.5x
We get rid of parentheses
-1x+0.5x+3.5
We add all the numbers together, and all the variables
-0.5x+3.5
Back to the equation:
-(-0.5x+3.5)
We get rid of parentheses
0.5x-3.5=0
We move all terms containing x to the left, all other terms to the right
0.5x=3.5
x=3.5/0.5
x=7

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