2/3x+9=8/3x-16

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Solution for 2/3x+9=8/3x-16 equation:



2/3x+9=8/3x-16
We move all terms to the left:
2/3x+9-(8/3x-16)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-16)!=0
x∈R
We get rid of parentheses
2/3x-8/3x+16+9=0
We multiply all the terms by the denominator
16*3x+9*3x+2-8=0
We add all the numbers together, and all the variables
16*3x+9*3x-6=0
Wy multiply elements
48x+27x-6=0
We add all the numbers together, and all the variables
75x-6=0
We move all terms containing x to the left, all other terms to the right
75x=6
x=6/75
x=2/25

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