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10x+17-(x-9)=3x+1/2
We move all terms to the left:
10x+17-(x-9)-(3x+1/2)=0
We add all the numbers together, and all the variables
10x-(x-9)-(+3x+1/2)+17=0
We get rid of parentheses
10x-x-3x+9+17-1/2=0
We multiply all the terms by the denominator
10x*2-x*2-3x*2-1+9*2+17*2=0
We add all the numbers together, and all the variables
10x*2-x*2-3x*2+51=0
Wy multiply elements
20x-2x-6x+51=0
We add all the numbers together, and all the variables
12x+51=0
We move all terms containing x to the left, all other terms to the right
12x=-51
x=-51/12
x=-4+1/4
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