Solve for x
x = -\frac{43}{3} = -14\frac{1}{3} \approx -14.333333333
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8\left(3x-2\right)=9\left(3x+3\right)
Multiply both sides of the equation by 72, the least common multiple of 9,8.
24x-16=9\left(3x+3\right)
Use the distributive property to multiply 8 by 3x-2.
24x-16=27x+27
Use the distributive property to multiply 9 by 3x+3.
24x-16-27x=27
Subtract 27x from both sides.
-3x-16=27
Combine 24x and -27x to get -3x.
-3x=27+16
Add 16 to both sides.
-3x=43
Add 27 and 16 to get 43.
x=\frac{43}{-3}
Divide both sides by -3.
x=-\frac{43}{3}
Fraction \frac{43}{-3} can be rewritten as -\frac{43}{3} by extracting the negative sign.
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