10.5=(8-x)/x

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Solution for 10.5=(8-x)/x equation:



10.5=(8-x)/x
We move all terms to the left:
10.5-((8-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+8)/x)+10.5=0
We multiply all the terms by the denominator
-((-1x+8)+(10.5)*x)=0
We calculate terms in parentheses: -((-1x+8)+(10.5)*x), so:
(-1x+8)+(10.5)*x
We multiply parentheses
(-1x+8)+10.5x
We get rid of parentheses
-1x+10.5x+8
We add all the numbers together, and all the variables
9.5x+8
Back to the equation:
-(9.5x+8)
We get rid of parentheses
-9.5x-8=0
We move all terms containing x to the left, all other terms to the right
-9.5x=8
x=8/-9.5
x=-8/9.5

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