$$x - \frac { x - 1 } { 2 } = 1 - \frac { x - 2 } { 3 }$$
$x = \frac{7}{5} = 1\frac{2}{5} = 1.4$
$$6x-3\left(x-1\right)=6-2\left(x-2\right)$$
$$6x-3x+3=6-2\left(x-2\right)$$
$$3x+3=6-2\left(x-2\right)$$
$$3x+3=6-2x+4$$
$$3x+3=10-2x$$
$$3x+3+2x=10$$
$$5x+3=10$$
$$5x=10-3$$
$$5x=7$$
$$x=\frac{7}{5}$$
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