Solve for x
x = \frac{29}{8} = 3\frac{5}{8} = 3.625
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3\left(2x+3\right)-2\left(x+2\right)=12x-24
Multiply both sides of the equation by 12, the least common multiple of 4,6.
6x+9-2\left(x+2\right)=12x-24
Use the distributive property to multiply 3 by 2x+3.
6x+9-2x-4=12x-24
Use the distributive property to multiply -2 by x+2.
4x+9-4=12x-24
Combine 6x and -2x to get 4x.
4x+5=12x-24
Subtract 4 from 9 to get 5.
4x+5-12x=-24
Subtract 12x from both sides.
-8x+5=-24
Combine 4x and -12x to get -8x.
-8x=-24-5
Subtract 5 from both sides.
-8x=-29
Subtract 5 from -24 to get -29.
x=\frac{-29}{-8}
Divide both sides by -8.
x=\frac{29}{8}
Fraction \frac{-29}{-8} can be simplified to \frac{29}{8} by removing the negative sign from both the numerator and the denominator.
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