X/(45-x)=7/8

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Solution for X/(45-x)=7/8 equation: 



X/(45-X)=7/8

We move all terms to the left:

X/(45-X)-(7/8)=0



Domain of the equation: (45-X)!=0

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

-X!=-45

X!=-45/-1

X!=+45

X∈R



We add all the numbers together, and all the variables

X/(-1X+45)-(+7/8)=0

We get rid of parentheses

X/(-1X+45)-7/8=0

We calculate fractions


8X/(-8X+360)+(7X-315)/(-8X+360)=0

We multiply all the terms by the denominator


8X+(7X-315)=0

We get rid of parentheses

8X+7X-315=0

We add all the numbers together, and all the variables

15X-315=0

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

15X=315

X=315/15

X=21

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