If {5 x-7}/ 3+2=\frac{4 x-3}{4}+4 x, then the value of (8x+5) is

CTET 2 Math and Science Jan 2021 Paper

Question : 49 of 150

Marks: +1, -0

{5 x-7}/ 3+2={4 x-3}/{4}+4 x

, then the value of

(8x+5)

Solution:

{5 x-7}/{3}+2={4 x-3}/{4}+4 x

⇒{4 x-3}/{4}-{5 x-7}/{3}=2-4 x

⇒{3(4 x-3)-4(5 x-7)}/{12}=2-4 x

⇒12 x-9-20 x+28=24-48 x

⇒-8 x=24-28+9-48 x

⇒40 x=5

⇒x={1}/{8}

Value of

8 x+5=8 ×{1}/{8}+5

=1+5=6

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