Respuesta :

Answer:

[tex]\boxed{\boxed{\sf x=12}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{5}{2}\:x-7=\cfrac{3}{4}\:x+14[/tex]

Add 7 to both sides:

  • [tex]\sf \cfrac{5}{2}\:x-7+7=\cfrac{3}{4}\:x+14+7[/tex]
  • [tex]\sf \cfrac{5}{2}\:x=\cfrac{3}{4}\:x+21[/tex]

Now, Subtract 3/4 x from both sides:

  • [tex]\sf \cfrac{5}{2}\:x-\cfrac{3}{4}\:x=\cfrac{3}{4}\:x+21-\cfrac{3}{4}\:x[/tex]
  • [tex]\sf \cfrac{7}{4}\:x=21[/tex]

Multiply both sides by 4:

  • [tex]\sf 4\times \cfrac{7}{4}\:x=21\times \:4[/tex]
  • [tex]\sf 7x=84[/tex]

Divide both sides by 7:

  • [tex]\sf \cfrac{7x}{7}=\cfrac{84}{7}[/tex]
  • [tex]\sf x=12[/tex]

_________________________________

Otras preguntas