(X-2)(2x+5)-2(3x)=2(x-2)x

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



(X-2)(2X+5)-2(3X)=2(X-2)X
We move all terms to the left:
(X-2)(2X+5)-2(3X)-(2(X-2)X)=0
We add all the numbers together, and all the variables
-23X+(X-2)(2X+5)-(2(X-2)X)=0
We multiply parentheses ..
(+2X^2+5X-4X-10)-23X-(2(X-2)X)=0
We calculate terms in parentheses: -(2(X-2)X), so:
2(X-2)X
We multiply parentheses
2X^2-4X
Back to the equation:
-(2X^2-4X)
We get rid of parentheses
2X^2-2X^2+5X-4X-23X+4X-10=0
We add all the numbers together, and all the variables
-18X-10=0
We move all terms containing X to the left, all other terms to the right
-18X=10
X=10/-18
X=-5/9

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