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7x+5=8x+14
We move all terms to the left:
7x+5-(8x+14)=0
We get rid of parentheses
7x-8x-14+5=0
We add all the numbers together, and all the variables
-1x-9=0
We move all terms containing x to the left, all other terms to the right
-x=9
x=9/-1
x=-9
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