(5+2x)(2x-3)=(4x+5)(x+1)

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Solution for (5+2x)(2x-3)=(4x+5)(x+1) equation: 



(5+2x)(2x-3)=(4x+5)(x+1)

We move all terms to the left:

(5+2x)(2x-3)-((4x+5)(x+1))=0

We add all the numbers together, and all the variables

(2x+5)(2x-3)-((4x+5)(x+1))=0

We multiply parentheses ..

(+4x^2-6x+10x-15)-((4x+5)(x+1))=0



We calculate terms in parentheses: -((4x+5)(x+1)), so:

(4x+5)(x+1)

We multiply parentheses ..

(+4x^2+4x+5x+5)

We get rid of parentheses

4x^2+4x+5x+5

We add all the numbers together, and all the variables

4x^2+9x+5

Back to the equation:

-(4x^2+9x+5)



We get rid of parentheses

4x^2-4x^2-6x+10x-9x-15-5=0

We add all the numbers together, and all the variables

-5x-20=0

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

-5x=20

x=20/-5

x=-4

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