The steps below show the solution to the equation LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 ). Order the reasons for the steps.

LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 )

LaTeX: 3\left(x\right)+3\left(-2\right)=2\left(x\right)+2\left(-3\right)3 ( x ) + 3 ( − 2 ) = 2 ( x ) + 2 ( − 3 )
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LaTeX: 3x-6=2x-63 x − 6 = 2 x − 6
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LaTeX: 3x-2x=-6+63 x − 2 x = − 6 + 6
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LaTeX: x=0x = 0