$$\left. \begin{array} { l } { \frac { m - \frac { 2 m - 1 } { 2 } } { 2 } = 1 - \frac { m - 2 } { 3 } } \\ { \frac { m - ( m - 1 ) = ( - m - 2 ) } { 6 } } \end{array} \right.$$
$m = \frac{17}{4} = 4\frac{1}{4} = 4.25$
$$3\left(m-\frac{2m-1}{2}\right)=6-2\left(m-2\right)$$
$$3m+3\left(-\frac{2m-1}{2}\right)=6-2\left(m-2\right)$$
$$3m+\frac{-3\left(2m-1\right)}{2}=6-2\left(m-2\right)$$
$$3m+\frac{-3\left(2m-1\right)}{2}=6-2m+4$$
$$3m+\frac{-3\left(2m-1\right)}{2}=10-2m$$
$$3m+\frac{-6m+3}{2}=10-2m$$
$$3m-3m+\frac{3}{2}=10-2m$$
$$\frac{3}{2}=10-2m$$
$$10-2m=\frac{3}{2}$$
$$-2m=\frac{3}{2}-10$$
$$-2m=\frac{3}{2}-\frac{20}{2}$$
$$-2m=\frac{3-20}{2}$$
$$-2m=-\frac{17}{2}$$
$$m=\frac{-\frac{17}{2}}{-2}$$
$$m=\frac{-17}{2\left(-2\right)}$$
$$m=\frac{-17}{-4}$$
$$m=\frac{17}{4}$$
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