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10x+6=0
Swap sides so that all variable terms are on the left hand side.
10x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{10}
Divide both sides by 10.
x=-\frac{3}{5}
Reduce the fraction \frac{-6}{10} to lowest terms by extracting and canceling out 2.