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4/3x-7=1/3x+8
We move all terms to the left:
4/3x-7-(1/3x+8)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+8)!=0We get rid of parentheses
x∈R
4/3x-1/3x-8-7=0
We multiply all the terms by the denominator
-8*3x-7*3x+4-1=0
We add all the numbers together, and all the variables
-8*3x-7*3x+3=0
Wy multiply elements
-24x-21x+3=0
We add all the numbers together, and all the variables
-45x+3=0
We move all terms containing x to the left, all other terms to the right
-45x=-3
x=-3/-45
x=1/15
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