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1-4x=3x+9
Multiply both sides of the equation by 9, the least common multiple of 9,3.
1-4x-3x=9
Subtract 3x from both sides.
1-7x=9
Combine -4x and -3x to get -7x.
-7x=9-1
Subtract 1 from both sides.
-7x=8
Subtract 1 from 9 to get 8.
x=\frac{8}{-7}
Divide both sides by -7.
x=-\frac{8}{7}
Fraction \frac{8}{-7} can be rewritten as -\frac{8}{7} by extracting the negative sign.