7/3x+7=10/3x-6

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Solution for 7/3x+7=10/3x-6 equation:



7/3x+7=10/3x-6
We move all terms to the left:
7/3x+7-(10/3x-6)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-6)!=0
x∈R
We get rid of parentheses
7/3x-10/3x+6+7=0
We multiply all the terms by the denominator
6*3x+7*3x+7-10=0
We add all the numbers together, and all the variables
6*3x+7*3x-3=0
Wy multiply elements
18x+21x-3=0
We add all the numbers together, and all the variables
39x-3=0
We move all terms containing x to the left, all other terms to the right
39x=3
x=3/39
x=1/13

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