1.

If \(\dfrac{5x-7}{3}+2=\dfrac{4x-3}{4}+4x\), then the value of (8x + 5) is1. 92. 133. 64. 7

Answer» Correct Answer - Option 3 : 6

Given:

\(\dfrac{5x-7}{3}+2=\dfrac{4x-3}{4}+4x\)

Calculation:

\(\dfrac{5x-7}{3}+2=\dfrac{4x-3}{4}+4x\)

⇒ {(4x – 3)/4} + 4x – {(5x – 7)/3} = 2

⇒ 3(4x – 3) + 12 × 4x – 4(5x – 7) = 2 × 12      ----(Multiply with 12)

⇒ 12x – 9 + 48x – 20x + 28 = 24

⇒ 12x + 48x – 20x = 24 + 9 – 28

⇒ 40x = 5

⇒ x = 1/8

Now, (8x + 5) = 8/8 + 5 = 1 + 5 = 6

∴ The required value of the given expression is 6


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