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]
