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3(2x+3)+2(4x-5)=6
We move all terms to the left:
3(2x+3)+2(4x-5)-(6)=0
We multiply parentheses
6x+8x+9-10-6=0
We add all the numbers together, and all the variables
14x-7=0
We move all terms containing x to the left, all other terms to the right
14x=7
x=7/14
x=1/2
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