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5x-1=3x+14
We move all terms to the left:
5x-1-(3x+14)=0
We get rid of parentheses
5x-3x-14-1=0
We add all the numbers together, and all the variables
2x-15=0
We move all terms containing x to the left, all other terms to the right
2x=15
x=15/2
x=7+1/2
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