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5x+3=3x+18
We move all terms to the left:
5x+3-(3x+18)=0
We get rid of parentheses
5x-3x-18+3=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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