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6(x+3)+2(x-5)=4(x-3)+3(x+7)
We move all terms to the left:
6(x+3)+2(x-5)-(4(x-3)+3(x+7))=0
We multiply parentheses
6x+2x-(4(x-3)+3(x+7))+18-10=0
We calculate terms in parentheses: -(4(x-3)+3(x+7)), so:We add all the numbers together, and all the variables
4(x-3)+3(x+7)
We multiply parentheses
4x+3x-12+21
We add all the numbers together, and all the variables
7x+9
Back to the equation:
-(7x+9)
8x-(7x+9)+8=0
We get rid of parentheses
8x-7x-9+8=0
We add all the numbers together, and all the variables
x-1=0
We move all terms containing x to the left, all other terms to the right
x=1
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