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3x(x-2)-2x(5-x)-5x(x+4)=4(x-10)
We move all terms to the left:
3x(x-2)-2x(5-x)-5x(x+4)-(4(x-10))=0
We add all the numbers together, and all the variables
3x(x-2)-2x(-1x+5)-5x(x+4)-(4(x-10))=0
We multiply parentheses
3x^2+2x^2-5x^2-6x-10x-20x-(4(x-10))=0
We calculate terms in parentheses: -(4(x-10)), so:We add all the numbers together, and all the variables
4(x-10)
We multiply parentheses
4x-40
Back to the equation:
-(4x-40)
-36x-(4x-40)=0
We get rid of parentheses
-36x-4x+40=0
We add all the numbers together, and all the variables
-40x+40=0
We move all terms containing x to the left, all other terms to the right
-40x=-40
x=-40/-40
x=1
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