Solve for x
x = -\frac{3}{2} = -1\frac{1}{2} = -1.5
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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.
3x=2x+3x+3
Use the distributive property to multiply 3 by x+1.
3x=5x+3
Combine 2x and 3x to get 5x.
3x-5x=3
Subtract 5x from both sides.
-2x=3
Combine 3x and -5x 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.
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