Solve for x
x=4
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3\left(3x-2\right)=12+2\left(2x+1\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9x-6=12+2\left(2x+1\right)
Use the distributive property to multiply 3 by 3x-2.
9x-6=12+4x+2
Use the distributive property to multiply 2 by 2x+1.
9x-6=14+4x
Add 12 and 2 to get 14.
9x-6-4x=14
Subtract 4x from both sides.
5x-6=14
Combine 9x and -4x to get 5x.
5x=14+6
Add 6 to both sides.
5x=20
Add 14 and 6 to get 20.
x=\frac{20}{5}
Divide both sides by 5.
x=4
Divide 20 by 5 to get 4.
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