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(0.5x-4)/(2.4x+6)=-5/3
We move all terms to the left:
(0.5x-4)/(2.4x+6)-(-5/3)=0
Domain of the equation: (2.4x+6)!=0We get rid of parentheses
We move all terms containing x to the left, all other terms to the right
2.4x!=-6
x!=-6/2.4
x!=-2+1/2
x∈R
(0.5x-4)/(2.4x+6)+5/3=0
We calculate fractions
(x-12)/(6x+18)+(10x+30)/(6x+18)=0
We multiply all the terms by the denominator
(x-12)+(10x+30)=0
We get rid of parentheses
x+10x-12+30=0
We add all the numbers together, and all the variables
11x+18=0
We move all terms containing x to the left, all other terms to the right
11x=-18
x=-18/11
x=-1+7/11
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