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3x-19=-6x+3-10
Subtract 10 from -9 to get -19.
3x-19=-6x-7
Subtract 10 from 3 to get -7.
3x-19+6x=-7
Add 6x to both sides.
9x-19=-7
Combine 3x and 6x to get 9x.
9x=-7+19
Add 19 to both sides.
9x=12
Add -7 and 19 to get 12.
x=\frac{12}{9}
Divide both sides by 9.
x=\frac{4}{3}
Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.