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7x/(5x+8)=7/9
We move all terms to the left:
7x/(5x+8)-(7/9)=0
Domain of the equation: (5x+8)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
5x!=-8
x!=-8/5
x!=-1+3/5
x∈R
7x/(5x+8)-(+7/9)=0
We get rid of parentheses
7x/(5x+8)-7/9=0
We calculate fractions
63x/(45x+72)+(-35x-56)/(45x+72)=0
We multiply all the terms by the denominator
63x+(-35x-56)=0
We get rid of parentheses
63x-35x-56=0
We add all the numbers together, and all the variables
28x-56=0
We move all terms containing x to the left, all other terms to the right
28x=56
x=56/28
x=2
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