HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9.

HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9 class=

Respuesta :

[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]

Step-by-step explanation:

Given fractional expression:

(4x+3)/5 = (8x-1)/9

By doing cross multiplication, we get

⇛4x(9) + 3(9) = 8x(5) - 1(5)

⇛36x + 27 = 40x - 5

Now, combine the like terms in one side.

⇛27x - 40x = -5 + 36

⇛-13x = 31

⇛x = 31/-13 Ans.

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