.5x+4/5x=x+9

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Solution for .5x+4/5x=x+9 equation:



.5x+4/5x=x+9
We move all terms to the left:
.5x+4/5x-(x+9)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
We get rid of parentheses
.5x+4/5x-x-9=0
We multiply all the terms by the denominator
(.5x)*5x-x*5x-9*5x+4=0
We add all the numbers together, and all the variables
(+.5x)*5x-x*5x-9*5x+4=0
We multiply parentheses
5x^2-x*5x-9*5x+4=0
Wy multiply elements
5x^2-5x^2-45x+4=0
We add all the numbers together, and all the variables
-45x+4=0
We move all terms containing x to the left, all other terms to the right
-45x=-4
x=-4/-45
x=4/45

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