cheyennegrace7ovtuth cheyennegrace7ovtuth
  • 22-05-2019
  • Mathematics
contestada

What is the value of x?

What is the value of x class=

Respuesta :

gmany
gmany gmany
  • 27-05-2019

Answer:

x = 27

Step-by-step explanation:

Look at the picture.

Therefore:

[tex]\dfrac{x+8}{2x-5}=\dfrac{10}{14}[/tex]          cross multiply

[tex]14(x+8)=10(2x-5)[/tex]     use the distributive property a(b + c) = ab + ac

[tex]14x+112=20x-50[/tex]             subtract 112 from both sides

[tex]14x=20x-162[/tex]             subtract 20x from both sides

[tex]-6x=-162[/tex]           divide both sides by (-6)

[tex]x=27[/tex]

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