Solve for x
x=3
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5x+1=-x-\left(-19\right)
To find the opposite of x-19, find the opposite of each term.
5x+1=-x+19
The opposite of -19 is 19.
5x+1+x=19
Add x to both sides.
6x+1=19
Combine 5x and x to get 6x.
6x=19-1
Subtract 1 from both sides.
6x=18
Subtract 1 from 19 to get 18.
x=\frac{18}{6}
Divide both sides by 6.
x=3
Divide 18 by 6 to get 3.
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