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5/9x-7=32/9x+8
We move all terms to the left:
5/9x-7-(32/9x+8)=0
Domain of the equation: 9x!=0
x!=0/9
x!=0
x∈R
Domain of the equation: 9x+8)!=0We get rid of parentheses
x∈R
5/9x-32/9x-8-7=0
We multiply all the terms by the denominator
-8*9x-7*9x+5-32=0
We add all the numbers together, and all the variables
-8*9x-7*9x-27=0
Wy multiply elements
-72x-63x-27=0
We add all the numbers together, and all the variables
-135x-27=0
We move all terms containing x to the left, all other terms to the right
-135x=27
x=27/-135
x=-1/5
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