Respuesta :

[tex]\dfrac 54 (x-2) +2x -4 = 9\\\\\implies \dfrac{5x-10}{4} +2x = 9 +4 \\\\\\\implies \dfrac{5x -10 + 8x}4 = 13\\\\\implies 13x -10 = 13 \times 4 =52\\\\\implies 13x = 52 +10 = 62\\\\\implies x = \dfrac{62}{13}[/tex]

1) distribute the 5/4 and subtract 9 from both sides

5/4x-5/2+2x-4-9=0

2)add/subtract common variables

3.25x-15.5=0

3) move the 15.5 to the other side

3.25x=15.5

4) divide both sides by 3.25 and you have x

x=4.77