(7x+10)/(5x+10)=9/7

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Solution for (7x+10)/(5x+10)=9/7 equation:



(7x+10)/(5x+10)=9/7
We move all terms to the left:
(7x+10)/(5x+10)-(9/7)=0
Domain of the equation: (5x+10)!=0
We move all terms containing x to the left, all other terms to the right
5x!=-10
x!=-10/5
x!=-2
x∈R
We add all the numbers together, and all the variables
(7x+10)/(5x+10)-(+9/7)=0
We get rid of parentheses
(7x+10)/(5x+10)-9/7=0
We calculate fractions
(49x+70)/(35x+70)+(-45x-90)/(35x+70)=0
We multiply all the terms by the denominator
(49x+70)+(-45x-90)=0
We get rid of parentheses
49x-45x+70-90=0
We add all the numbers together, and all the variables
4x-20=0
We move all terms containing x to the left, all other terms to the right
4x=20
x=20/4
x=5

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