x/(x+16)=30/40

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Solution for x/(x+16)=30/40 equation: 



x/(x+16)=30/40

We move all terms to the left:

x/(x+16)-(30/40)=0



Domain of the equation: (x+16)!=0

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

x!=-16

x∈R



We add all the numbers together, and all the variables

x/(x+16)-(+30/40)=0

We get rid of parentheses

x/(x+16)-30/40=0

We calculate fractions


40x/(40x+640)+(-30x-480)/(40x+640)=0

We multiply all the terms by the denominator


40x+(-30x-480)=0

We get rid of parentheses

40x-30x-480=0

We add all the numbers together, and all the variables

10x-480=0

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

10x=480

x=480/10

x=48

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