2/3x+7=5/3x-2

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Solution for 2/3x+7=5/3x-2 equation: 



2/3x+7=5/3x-2

We move all terms to the left:

2/3x+7-(5/3x-2)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: 3x-2)!=0

x∈R



We get rid of parentheses

2/3x-5/3x+2+7=0

We multiply all the terms by the denominator


2*3x+7*3x+2-5=0

We add all the numbers together, and all the variables

2*3x+7*3x-3=0

Wy multiply elements

6x+21x-3=0

We add all the numbers together, and all the variables

27x-3=0

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

27x=3

x=3/27

x=1/9

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