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10-2(3x+1)=5(3x+4)
We move all terms to the left:
10-2(3x+1)-(5(3x+4))=0
We multiply parentheses
-6x-(5(3x+4))-2+10=0
We calculate terms in parentheses: -(5(3x+4)), so:We add all the numbers together, and all the variables
5(3x+4)
We multiply parentheses
15x+20
Back to the equation:
-(15x+20)
-6x-(15x+20)+8=0
We get rid of parentheses
-6x-15x-20+8=0
We add all the numbers together, and all the variables
-21x-12=0
We move all terms containing x to the left, all other terms to the right
-21x=12
x=12/-21
x=-4/7
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