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3x=2x+3\left(x+1\right)\left(-1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+1\right), the least common multiple of x+1,3x+3.
3x=2x-3\left(x+1\right)
Multiply 3 and -1 to get -3.
3x=2x-3x-3
Use the distributive property to multiply -3 by x+1.
3x=-x-3
Combine 2x and -3x to get -x.
3x+x=-3
Add x to both sides.
4x=-3
Combine 3x and x to get 4x.
x=\frac{-3}{4}
Divide both sides by 4.
x=-\frac{3}{4}
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.