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4/5x-6=3/5x+13
We move all terms to the left:
4/5x-6-(3/5x+13)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+13)!=0We get rid of parentheses
x∈R
4/5x-3/5x-13-6=0
We multiply all the terms by the denominator
-13*5x-6*5x+4-3=0
We add all the numbers together, and all the variables
-13*5x-6*5x+1=0
Wy multiply elements
-65x-30x+1=0
We add all the numbers together, and all the variables
-95x+1=0
We move all terms containing x to the left, all other terms to the right
-95x=-1
x=-1/-95
x=1/95
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