Solve for x
x = \frac{29}{9} = 3\frac{2}{9} \approx 3.222222222
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4\left(3x-2\right)-3\left(x+3\right)=12
Multiply both sides of the equation by 12, the least common multiple of 3,4.
12x-8-3\left(x+3\right)=12
Use the distributive property to multiply 4 by 3x-2.
12x-8-3x-9=12
Use the distributive property to multiply -3 by x+3.
9x-8-9=12
Combine 12x and -3x to get 9x.
9x-17=12
Subtract 9 from -8 to get -17.
9x=12+17
Add 17 to both sides.
9x=29
Add 12 and 17 to get 29.
x=\frac{29}{9}
Divide both sides by 9.
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