3/5x-5=6/5x+7

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Solution for 3/5x-5=6/5x+7 equation:



3/5x-5=6/5x+7
We move all terms to the left:
3/5x-5-(6/5x+7)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+7)!=0
x∈R
We get rid of parentheses
3/5x-6/5x-7-5=0
We multiply all the terms by the denominator
-7*5x-5*5x+3-6=0
We add all the numbers together, and all the variables
-7*5x-5*5x-3=0
Wy multiply elements
-35x-25x-3=0
We add all the numbers together, and all the variables
-60x-3=0
We move all terms containing x to the left, all other terms to the right
-60x=3
x=3/-60
x=-1/20

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