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5x/(2-3x)=10
We move all terms to the left:
5x/(2-3x)-(10)=0
Domain of the equation: (2-3x)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
-3x!=-2
x!=-2/-3
x!=2/3
x∈R
5x/(-3x+2)-10=0
We multiply all the terms by the denominator
5x-10*(-3x+2)=0
We multiply parentheses
5x+30x-20=0
We add all the numbers together, and all the variables
35x-20=0
We move all terms containing x to the left, all other terms to the right
35x=20
x=20/35
x=4/7
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