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19x-2=5x-6x+12
Combine 7x and 12x to get 19x.
19x-2=-x+12
Combine 5x and -6x to get -x.
19x-2+x=12
Add x to both sides.
20x-2=12
Combine 19x and x to get 20x.
20x=12+2
Add 2 to both sides.
20x=14
Add 12 and 2 to get 14.
x=\frac{14}{20}
Divide both sides by 20.
x=\frac{7}{10}
Reduce the fraction \frac{14}{20} to lowest terms by extracting and canceling out 2.