(5x+8)/(3x-8)=11/5

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Solution for (5x+8)/(3x-8)=11/5 equation:



(5x+8)/(3x-8)=11/5
We move all terms to the left:
(5x+8)/(3x-8)-(11/5)=0
Domain of the equation: (3x-8)!=0
We move all terms containing x to the left, all other terms to the right
3x!=8
x!=8/3
x!=2+2/3
x∈R
We add all the numbers together, and all the variables
(5x+8)/(3x-8)-(+11/5)=0
We get rid of parentheses
(5x+8)/(3x-8)-11/5=0
We calculate fractions
(25x+40)/(15x-40)+(-33x+88)/(15x-40)=0
We multiply all the terms by the denominator
(25x+40)+(-33x+88)=0
We get rid of parentheses
25x-33x+40+88=0
We add all the numbers together, and all the variables
-8x+128=0
We move all terms containing x to the left, all other terms to the right
-8x=-128
x=-128/-8
x=+16

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