Question

4x-2/3-23/3=13-5(7x+5/3)

Answer 1

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Answer 2

Answer :-

$4x \: - \: \dfrac{2}{3} \: - \dfrac{23}{3} \: = \: 13 \: - \: 5 \: (7x \: + \: \dfrac{5}{3} )$

$\implies4x \: - \dfrac{25}{3} = \: 13 \: - \: 35x \: - \: \dfrac{25}{3}$

$\implies4x \: + \: 35x \: = \: 13 \: - \: \dfrac{25}{3} \: + \: \dfrac{25}{3}$

$\implies39x \: = \: 13$

$\implies \: x \: = \: \dfrac{13}{39}$

$\implies \: x \: = \dfrac{1}{3}$

Verification :-

LHS :-

$\implies$ 4($\dfrac{1}{3}$) - $\dfrac{25}{3}$

$\implies$ $\dfrac{4}{3}$ - $\dfrac{25}{3}$

$\implies$ $\dfrac{-21}{3}$

$\implies$ -7

RHS :-

$\implies$ 13 - 5 (7 $\dfrac{1}{3}$ + $\dfrac{5}{3}$

$\implies$ 13 - $\dfrac{35}{3}$ - $\dfrac{25}{3}$

$\implies$ $\dfrac{-21}{3}$

$\implies$ -7

Hence, LHS = RHS.

Verified !!

So, the value of x is 1/3.