(4*x+9)/(2*x+8)=5

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Solution for (4*x+9)/(2*x+8)=5 equation:



(4x+9)/(2x+8)=5
We move all terms to the left:
(4x+9)/(2x+8)-(5)=0
Domain of the equation: (2x+8)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-8
x!=-8/2
x!=-4
x∈R
We multiply all the terms by the denominator
(4x+9)-5*(2x+8)=0
We multiply parentheses
(4x+9)-10x-40=0
We get rid of parentheses
4x-10x+9-40=0
We add all the numbers together, and all the variables
-6x-31=0
We move all terms containing x to the left, all other terms to the right
-6x=31
x=31/-6
x=-5+1/6

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