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4x-3=-9
Swap sides so that all variable terms are on the left hand side.
4x=-9+3
Add 3 to both sides.
4x=-6
Add -9 and 3 to get -6.
x=\frac{-6}{4}
Divide both sides by 4.
x=-\frac{3}{2}
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.