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1+3x=\frac{2}{-4}
Divide both sides by -4.
1+3x=-\frac{1}{2}
Reduce the fraction \frac{2}{-4} to lowest terms by extracting and canceling out 2.
3x=-\frac{1}{2}-1
Subtract 1 from both sides.
3x=-\frac{1}{2}-\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
3x=\frac{-1-2}{2}
Since -\frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.
3x=-\frac{3}{2}
Subtract 2 from -1 to get -3.
x=\frac{-\frac{3}{2}}{3}
Divide both sides by 3.
x=\frac{-3}{2\times 3}
Express \frac{-\frac{3}{2}}{3} as a single fraction.
x=\frac{-3}{6}
Multiply 2 and 3 to get 6.
x=-\frac{1}{2}
Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.