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