x(5+x)+x(12-x)=51

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Solution for x(5+x)+x(12-x)=51 equation: 



x(5+x)+x(12-x)=51

We move all terms to the left:

x(5+x)+x(12-x)-(51)=0

We add all the numbers together, and all the variables

x(x+5)+x(-1x+12)-51=0

We multiply parentheses

x^2-1x^2+5x+12x-51=0

We add all the numbers together, and all the variables

17x-51=0

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

17x=51

x=51/17

x=3

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