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6x-5=7x+10

We move all terms to the left:

6x-5-(7x+10)=0

We get rid of parentheses

6x-7x-10-5=0

We add all the numbers together, and all the variables

-1x-15=0

We move all terms containing x to the left, all other terms to the right

-x=15

x=15/-1

x=-15

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