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6x=4x-3
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
6x-4x=-3
Subtract 4x from both sides.
2x=-3
Combine 6x and -4x to get 2x.
x=\frac{-3}{2}
Divide both sides by 2.
x=-\frac{3}{2}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.