(x+6)(2x+7)=(x+4)(2x+9)

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Solution for (x+6)(2x+7)=(x+4)(2x+9) equation: 



(x+6)(2x+7)=(x+4)(2x+9)

We move all terms to the left:

(x+6)(2x+7)-((x+4)(2x+9))=0

We multiply parentheses ..

(+2x^2+7x+12x+42)-((x+4)(2x+9))=0



We calculate terms in parentheses: -((x+4)(2x+9)), so:

(x+4)(2x+9)

We multiply parentheses ..

(+2x^2+9x+8x+36)

We get rid of parentheses

2x^2+9x+8x+36

We add all the numbers together, and all the variables

2x^2+17x+36

Back to the equation:

-(2x^2+17x+36)



We get rid of parentheses

2x^2-2x^2+7x+12x-17x+42-36=0

We add all the numbers together, and all the variables

2x+6=0

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

2x=-6

x=-6/2

x=-3

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