3x+1/5x-7=3x+6/5x-3

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Solution for 3x+1/5x-7=3x+6/5x-3 equation:



3x+1/5x-7=3x+6/5x-3
We move all terms to the left:
3x+1/5x-7-(3x+6/5x-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
3x+1/5x-3x-6/5x+3-7=0
We multiply all the terms by the denominator
3x*5x-3x*5x+3*5x-7*5x+1-6=0
We add all the numbers together, and all the variables
3x*5x-3x*5x+3*5x-7*5x-5=0
Wy multiply elements
15x^2-15x^2+15x-35x-5=0
We add all the numbers together, and all the variables
-20x-5=0
We move all terms containing x to the left, all other terms to the right
-20x=5
x=5/-20
x=-1/4

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