3/5x-15=6/5x-9+12

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Solution for 3/5x-15=6/5x-9+12 equation:



3/5x-15=6/5x-9+12
We move all terms to the left:
3/5x-15-(6/5x-9+12)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-9+12)!=0
We move all terms containing x to the left, all other terms to the right
5x+12)!=9
x∈R
We add all the numbers together, and all the variables
3/5x-(6/5x+3)-15=0
We get rid of parentheses
3/5x-6/5x-3-15=0
We multiply all the terms by the denominator
-3*5x-15*5x+3-6=0
We add all the numbers together, and all the variables
-3*5x-15*5x-3=0
Wy multiply elements
-15x-75x-3=0
We add all the numbers together, and all the variables
-90x-3=0
We move all terms containing x to the left, all other terms to the right
-90x=3
x=3/-90
x=-1/30

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