4x/(x-7)=7/8

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Solution for 4x/(x-7)=7/8 equation: 



4x/(x-7)=7/8

We move all terms to the left:

4x/(x-7)-(7/8)=0



Domain of the equation: (x-7)!=0

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

x!=7

x∈R



We add all the numbers together, and all the variables

4x/(x-7)-(+7/8)=0

We get rid of parentheses

4x/(x-7)-7/8=0

We calculate fractions


32x/(8x-56)+(-7x+49)/(8x-56)=0

We multiply all the terms by the denominator


32x+(-7x+49)=0

We get rid of parentheses

32x-7x+49=0

We add all the numbers together, and all the variables

25x+49=0

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

25x=-49

x=-49/25

x=-1+24/25

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