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2/5x-15=3/5x-6
We move all terms to the left:
2/5x-15-(3/5x-6)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-6)!=0We get rid of parentheses
x∈R
2/5x-3/5x+6-15=0
We multiply all the terms by the denominator
6*5x-15*5x+2-3=0
We add all the numbers together, and all the variables
6*5x-15*5x-1=0
Wy multiply elements
30x-75x-1=0
We add all the numbers together, and all the variables
-45x-1=0
We move all terms containing x to the left, all other terms to the right
-45x=1
x=1/-45
x=-1/45
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