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1-4x=6x+9
Multiply both sides of the equation by 3.
1-4x-6x=9
Subtract 6x from both sides.
1-10x=9
Combine -4x and -6x to get -10x.
-10x=9-1
Subtract 1 from both sides.
-10x=8
Subtract 1 from 9 to get 8.
x=\frac{8}{-10}
Divide both sides by -10.
x=-\frac{4}{5}
Reduce the fraction \frac{8}{-10} to lowest terms by extracting and canceling out 2.