(4x-3)/(2x+8)=5

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Solution for (4x-3)/(2x+8)=5 equation:



(4x-3)/(2x+8)=5
We move all terms to the left:
(4x-3)/(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-3)-5*(2x+8)=0
We multiply parentheses
(4x-3)-10x-40=0
We get rid of parentheses
4x-10x-3-40=0
We add all the numbers together, and all the variables
-6x-43=0
We move all terms containing x to the left, all other terms to the right
-6x=43
x=43/-6
x=-7+1/6

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