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7(2x+3)+8(5x+1)=13(3x+5)+4(x+2)
We move all terms to the left:
7(2x+3)+8(5x+1)-(13(3x+5)+4(x+2))=0
We multiply parentheses
14x+40x-(13(3x+5)+4(x+2))+21+8=0
We calculate terms in parentheses: -(13(3x+5)+4(x+2)), so:We add all the numbers together, and all the variables
13(3x+5)+4(x+2)
We multiply parentheses
39x+4x+65+8
We add all the numbers together, and all the variables
43x+73
Back to the equation:
-(43x+73)
54x-(43x+73)+29=0
We get rid of parentheses
54x-43x-73+29=0
We add all the numbers together, and all the variables
11x-44=0
We move all terms containing x to the left, all other terms to the right
11x=44
x=44/11
x=4
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