4x/(9x+32)=4/17

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Solution for 4x/(9x+32)=4/17 equation:



4x/(9x+32)=4/17
We move all terms to the left:
4x/(9x+32)-(4/17)=0
Domain of the equation: (9x+32)!=0
We move all terms containing x to the left, all other terms to the right
9x!=-32
x!=-32/9
x!=-3+5/9
x∈R
We add all the numbers together, and all the variables
4x/(9x+32)-(+4/17)=0
We get rid of parentheses
4x/(9x+32)-4/17=0
We calculate fractions
68x/(153x+544)+(-36x-128)/(153x+544)=0
We multiply all the terms by the denominator
68x+(-36x-128)=0
We get rid of parentheses
68x-36x-128=0
We add all the numbers together, and all the variables
32x-128=0
We move all terms containing x to the left, all other terms to the right
32x=128
x=128/32
x=4

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