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12-6x=\frac{12\times 3}{4}x
Express 12\times \frac{3}{4} as a single fraction.
12-6x=\frac{36}{4}x
Multiply 12 and 3 to get 36.
12-6x=9x
Divide 36 by 4 to get 9.
12-6x-9x=0
Subtract 9x from both sides.
12-15x=0
Combine -6x and -9x to get -15x.
-15x=-12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-12}{-15}
Divide both sides by -15.
x=\frac{4}{5}
Reduce the fraction \frac{-12}{-15} to lowest terms by extracting and canceling out -3.