0.4=(12-x)/x

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Solution for 0.4=(12-x)/x equation:



0.4=(12-x)/x
We move all terms to the left:
0.4-((12-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+12)/x)+0.4=0
We multiply all the terms by the denominator
-((-1x+12)+(0.4)*x)=0
We calculate terms in parentheses: -((-1x+12)+(0.4)*x), so:
(-1x+12)+(0.4)*x
We multiply parentheses
(-1x+12)+0.4x
We get rid of parentheses
-1x+0.4x+12
We add all the numbers together, and all the variables
-0.6x+12
Back to the equation:
-(-0.6x+12)
We get rid of parentheses
0.6x-12=0
We move all terms containing x to the left, all other terms to the right
0.6x=12
x=12/0.6
x=20

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