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10x-5=7x+18
We move all terms to the left:
10x-5-(7x+18)=0
We get rid of parentheses
10x-7x-18-5=0
We add all the numbers together, and all the variables
3x-23=0
We move all terms containing x to the left, all other terms to the right
3x=23
x=23/3
x=7+2/3
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