1/5x-6=3/5x+4

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Solution for 1/5x-6=3/5x+4 equation:



1/5x-6=3/5x+4
We move all terms to the left:
1/5x-6-(3/5x+4)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+4)!=0
x∈R
We get rid of parentheses
1/5x-3/5x-4-6=0
We multiply all the terms by the denominator
-4*5x-6*5x+1-3=0
We add all the numbers together, and all the variables
-4*5x-6*5x-2=0
Wy multiply elements
-20x-30x-2=0
We add all the numbers together, and all the variables
-50x-2=0
We move all terms containing x to the left, all other terms to the right
-50x=2
x=2/-50
x=-1/25

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