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191-2x-\left(-1\right)=6x
To find the opposite of 2x-1, find the opposite of each term.
191-2x+1=6x
The opposite of -1 is 1.
192-2x=6x
Add 191 and 1 to get 192.
192-2x-6x=0
Subtract 6x from both sides.
192-8x=0
Combine -2x and -6x to get -8x.
-8x=-192
Subtract 192 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-192}{-8}
Divide both sides by -8.
x=24
Divide -192 by -8 to get 24.