3/5x-6=2/5x-3

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Solution for 3/5x-6=2/5x-3 equation: 



3/5x-6=2/5x-3

We move all terms to the left:

3/5x-6-(2/5x-3)=0



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R





Domain of the equation: 5x-3)!=0

x∈R



We get rid of parentheses

3/5x-2/5x+3-6=0

We multiply all the terms by the denominator


3*5x-6*5x+3-2=0

We add all the numbers together, and all the variables

3*5x-6*5x+1=0

Wy multiply elements

15x-30x+1=0

We add all the numbers together, and all the variables

-15x+1=0

We move all terms containing x to the left, all other terms to the right

-15x=-1

x=-1/-15

x=1/15

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