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(9x+8)(3x-2)-(5x+6)(6x-2)=(5-3x)(8+x)
We move all terms to the left:
(9x+8)(3x-2)-(5x+6)(6x-2)-((5-3x)(8+x))=0
We add all the numbers together, and all the variables
(9x+8)(3x-2)-(5x+6)(6x-2)-((-3x+5)(x+8))=0
We multiply parentheses ..
(+27x^2-18x+24x-16)-(5x+6)(6x-2)-((-3x+5)(x+8))=0
We calculate terms in parentheses: -((-3x+5)(x+8)), so:We get rid of parentheses
(-3x+5)(x+8)
We multiply parentheses ..
(-3x^2-24x+5x+40)
We get rid of parentheses
-3x^2-24x+5x+40
We add all the numbers together, and all the variables
-3x^2-19x+40
Back to the equation:
-(-3x^2-19x+40)
27x^2+3x^2-18x+24x+19x-(5x+6)(6x-2)-16-40=0
We multiply parentheses ..
27x^2+3x^2-(+30x^2-10x+36x-12)-18x+24x+19x-16-40=0
We add all the numbers together, and all the variables
30x^2-(+30x^2-10x+36x-12)+25x-56=0
We get rid of parentheses
30x^2-30x^2+10x-36x+25x+12-56=0
We add all the numbers together, and all the variables
-1x-44=0
We move all terms containing x to the left, all other terms to the right
-x=44
x=44/-1
x=-44
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