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3\left(2x+3\right)-4\left(x-2\right)=24
Multiply both sides of the equation by 12, the least common multiple of 4,3.
6x+9-4\left(x-2\right)=24
Use the distributive property to multiply 3 by 2x+3.
6x+9-4x+8=24
Use the distributive property to multiply -4 by x-2.
2x+9+8=24
Combine 6x and -4x to get 2x.
2x+17=24
Add 9 and 8 to get 17.
2x=24-17
Subtract 17 from both sides.
2x=7
Subtract 17 from 24 to get 7.
x=\frac{7}{2}
Divide both sides by 2.