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8x+6-6x-\left(-3\right)=19
To find the opposite of 6x-3, find the opposite of each term.
8x+6-6x+3=19
The opposite of -3 is 3.
2x+6+3=19
Combine 8x and -6x to get 2x.
2x+9=19
Add 6 and 3 to get 9.
2x=19-9
Subtract 9 from both sides.
2x=10
Subtract 9 from 19 to get 10.
x=\frac{10}{2}
Divide both sides by 2.
x=5
Divide 10 by 2 to get 5.