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2/3x+8=7/3x-2
We move all terms to the left:
2/3x+8-(7/3x-2)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-2)!=0We get rid of parentheses
x∈R
2/3x-7/3x+2+8=0
We multiply all the terms by the denominator
2*3x+8*3x+2-7=0
We add all the numbers together, and all the variables
2*3x+8*3x-5=0
Wy multiply elements
6x+24x-5=0
We add all the numbers together, and all the variables
30x-5=0
We move all terms containing x to the left, all other terms to the right
30x=5
x=5/30
x=1/6
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