(8x+14)/(5x+14)=10/7

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Solution for (8x+14)/(5x+14)=10/7 equation: 



(8x+14)/(5x+14)=10/7

We move all terms to the left:

(8x+14)/(5x+14)-(10/7)=0



Domain of the equation: (5x+14)!=0

We move all terms containing x to the left, all other terms to the right

5x!=-14

x!=-14/5

x!=-2+4/5

x∈R



We add all the numbers together, and all the variables

(8x+14)/(5x+14)-(+10/7)=0

We get rid of parentheses

(8x+14)/(5x+14)-10/7=0

We calculate fractions


(56x+98)/(35x+98)+(-50x-140)/(35x+98)=0

We multiply all the terms by the denominator


(56x+98)+(-50x-140)=0

We get rid of parentheses

56x-50x+98-140=0

We add all the numbers together, and all the variables

6x-42=0

We move all terms containing x to the left, all other terms to the right

6x=42

x=42/6

x=7

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