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4(2+3x)=5x-6
We move all terms to the left:
4(2+3x)-(5x-6)=0
We add all the numbers together, and all the variables
4(3x+2)-(5x-6)=0
We multiply parentheses
12x-(5x-6)+8=0
We get rid of parentheses
12x-5x+6+8=0
We add all the numbers together, and all the variables
7x+14=0
We move all terms containing x to the left, all other terms to the right
7x=-14
x=-14/7
x=-2
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