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2x+1=7x-19/2
We move all terms to the left:
2x+1-(7x-19/2)=0
We add all the numbers together, and all the variables
2x-(+7x-19/2)+1=0
We get rid of parentheses
2x-7x+1+19/2=0
We multiply all the terms by the denominator
2x*2-7x*2+19+1*2=0
We add all the numbers together, and all the variables
2x*2-7x*2+21=0
Wy multiply elements
4x-14x+21=0
We add all the numbers together, and all the variables
-10x+21=0
We move all terms containing x to the left, all other terms to the right
-10x=-21
x=-21/-10
x=2+1/10
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