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10-5x=12x
Use the distributive property to multiply 5 by 2-x.
10-5x-12x=0
Subtract 12x from both sides.
10-17x=0
Combine -5x and -12x to get -17x.
-17x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-10}{-17}
Divide both sides by -17.
x=\frac{10}{17}
Fraction \frac{-10}{-17} can be simplified to \frac{10}{17} by removing the negative sign from both the numerator and the denominator.