Question

X/4 - 1/3 = 1/4 - x/10

Answer 1

x/4 - 1/3 = 1/4 -x/10

3x - 4 / 12 = 10 - 4x / 40

3x - 1 / 3 = 4x - 1 / 4

x - 1 = x - 1

Hence, L.H.S. = R.H.S.

Hence, the proof.

Answer 2

$<u><i><b>Hi !$

Here is your answer !!

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A.T.Q.

$\frac{x}{4} \: - \: \frac{1}{3} \: = \: \frac{1}{4} \: - \: \frac{x}{10} \\ \\ = > \: \frac{x}{4} \: + \: \frac{x}{10} \: = \: \frac{1}{4} \: + \: \frac{1}{3} \\ \\ = > \: \frac{5x \: + \: 2x}{20} \: = \: \frac{3 \: + \: 4}{12} \\ \\ = > \: \frac{7x}{20} \: = \: \frac{7}{12} \\ \\ = > \: 7x \: \times \: 12 \: = \: 7 \: \times \: 20 \\ \\ = > \: 7x \: = \: \frac{7 \: \times \: 20}{12} \\ \\ = > \: x \: = \: \frac{7 \: \times \: 20}{12 \: \times \: 7} \\ \\ = > x \: = \: \frac{5}{3} \: \: \: \: \: \: \: \: \: \: \: ans$

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Thanks!!!