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$\fraction{x}{3} + 1 = \fraction{-x}{2} - 3 $
Solve for x
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2x+6=3\left(-x\right)-18
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x+6-3\left(-x\right)=-18
Subtract 3\left(-x\right) from both sides.
2x+6-3\left(-1\right)x=-18
Multiply -1 and 3 to get -3.
2x+6+3x=-18
Multiply -3 and -1 to get 3.
5x+6=-18
Combine 2x and 3x to get 5x.
5x=-18-6
Subtract 6 from both sides.
5x=-24
Subtract 6 from -18 to get -24.
x=\frac{-24}{5}
Divide both sides by 5.
x=-\frac{24}{5}
Fraction \frac{-24}{5} can be rewritten as -\frac{24}{5} by extracting the negative sign.