Solve for x
x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333
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1=3\left(2x+3\right)
Variable x cannot be equal to -\frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by 2x+3.
1=6x+9
Use the distributive property to multiply 3 by 2x+3.
6x+9=1
Swap sides so that all variable terms are on the left hand side.
6x=1-9
Subtract 9 from both sides.
6x=-8
Subtract 9 from 1 to get -8.
x=\frac{-8}{6}
Divide both sides by 6.
x=-\frac{4}{3}
Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.
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