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3x-2x=3\left(x+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.
x=3\left(x+1\right)
Combine 3x and -2x to get x.
x=3x+3
Use the distributive property to multiply 3 by x+1.
x-3x=3
Subtract 3x from both sides.
-2x=3
Combine x and -3x 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.