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12x+6-5x=0
Subtract 5x from both sides.
7x+6=0
Combine 12x and -5x to get 7x.
7x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{7}
Divide both sides by 7.
x=-\frac{6}{7}
Fraction \frac{-6}{7} can be rewritten as -\frac{6}{7} by extracting the negative sign.