Question

if 2x + 5/3 = 1/ 4 x whole + 4 then x =
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Answer 1

Answer:

$2x + \frac{5}{3} =( \frac{1}{4} x) + 4 \\ \frac{6x + 5}{3} = \frac{x}{4} + 4 = \frac{x + 16}{4}$

Cross Multiply

$4(6x + 5) = 3(x + 16) \\ 24x + 20 = 3x + 48 \\ 24x - 3 x = 48 - 20 \\ 21x = 28 \\ x = \frac{28}{21} \\ x = \frac{4}{3}$

Therefore value of x=4/3

Let's check whether it's correct or not

$2 \times \frac{4}{3} + \frac{5}{3} = ( \frac{1}{4} \times \frac{4}{3} ) + 4 \\ \frac{8}{3} + \frac{5}{3} = \frac{1}{3} + 4 \\ \frac{13}{3} = \frac{1 + 12}{3} \\ \frac{13}{3} = \frac{13}{3}$

L.H.S=R.H.S

hence verified