sanvyasandeep65 sanvyasandeep65
  • 06-09-2020
  • Mathematics
contestada

solve
2-[tex]\frac{x}{3}[/tex]=6-x

Respuesta :

BrainlyWarrior
BrainlyWarrior BrainlyWarrior
  • 06-09-2020

Answer :

[tex]:\implies\sf\:2-\dfrac{x}{3}=6-x[/tex]

Taking LCM in left side, we obtain

[tex]:\implies\sf\:\dfrac{6-x}{3}=6-x[/tex]

[tex]:\implies\sf\:6-x=3(6-x)[/tex]

[tex]:\implies\sf\:6-x=18-3x[/tex]

[tex]:\implies\sf\:-x+3x=18-6[/tex]

[tex]:\implies\sf\:2x=12[/tex]

[tex]:\implies\sf\:x=\dfrac{12}{2}[/tex]

[tex]:\implies\boxed{\bf{\orange{x=6}}}[/tex]

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