Explicación paso a paso:
M.C.M (9,18,6)= 18
[tex] \frac{x - 2}{9} \times 18 = \frac{5x - 9}{18} \times 18 - \frac{3 - 2x}{6} \times 18[/tex]
se simplifica el 18 con los denominadores
[tex]x - 2 \times 2 = 5x - 9 - 3 - 2x \times 3[/tex]
[tex]2x - 4 = 5x - 9 - (9 - 6x)[/tex]
[tex]2x - 4 = 5x - 9 - 9 + 6x[/tex]
[tex]2x -4 = 11x - 18 [/tex]
[tex]18 - 4 = 11x - 2x[/tex]
[tex]14 = 9x[/tex]
[tex] \frac{14}{9} = x[/tex]
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Explicación paso a paso:
M.C.M (9,18,6)= 18
[tex] \frac{x - 2}{9} \times 18 = \frac{5x - 9}{18} \times 18 - \frac{3 - 2x}{6} \times 18[/tex]
se simplifica el 18 con los denominadores
[tex]x - 2 \times 2 = 5x - 9 - 3 - 2x \times 3[/tex]
[tex]2x - 4 = 5x - 9 - (9 - 6x)[/tex]
[tex]2x - 4 = 5x - 9 - 9 + 6x[/tex]
[tex]2x -4 = 11x - 18 [/tex]
[tex]18 - 4 = 11x - 2x[/tex]
[tex]14 = 9x[/tex]
[tex] \frac{14}{9} = x[/tex]