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6x-5x-\left(-8\right)=1
To find the opposite of 5x-8, find the opposite of each term.
6x-5x+8=1
The opposite of -8 is 8.
x+8=1
Combine 6x and -5x to get x.
x=1-8
Subtract 8 from both sides.
x=-7
Subtract 8 from 1 to get -7.