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(18-5x)/(3x+2)=7/3
We move all terms to the left:
(18-5x)/(3x+2)-(7/3)=0
Domain of the equation: (3x+2)!=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+18)/(3x+2)-(+7/3)=0
We get rid of parentheses
(-5x+18)/(3x+2)-7/3=0
We calculate fractions
(-15x+54)/(9x+6)+(-21x-14)/(9x+6)=0
We multiply all the terms by the denominator
(-15x+54)+(-21x-14)=0
We get rid of parentheses
-15x-21x+54-14=0
We add all the numbers together, and all the variables
-36x+40=0
We move all terms containing x to the left, all other terms to the right
-36x=-40
x=-40/-36
x=1+1/9
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