2(3x+7)-3(x-2)=3x+2(4x-5)

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Solution for 2(3x+7)-3(x-2)=3x+2(4x-5) equation:



2(3x+7)-3(x-2)=3x+2(4x-5)
We move all terms to the left:
2(3x+7)-3(x-2)-(3x+2(4x-5))=0
We multiply parentheses
6x-3x-(3x+2(4x-5))+14+6=0
We calculate terms in parentheses: -(3x+2(4x-5)), so:
3x+2(4x-5)
We multiply parentheses
3x+8x-10
We add all the numbers together, and all the variables
11x-10
Back to the equation:
-(11x-10)
We add all the numbers together, and all the variables
3x-(11x-10)+20=0
We get rid of parentheses
3x-11x+10+20=0
We add all the numbers together, and all the variables
-8x+30=0
We move all terms containing x to the left, all other terms to the right
-8x=-30
x=-30/-8
x=3+3/4

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