Al Linear equation in one variable

Question

Linear equation in one variable:

\(\frac{6x-7}4+\frac{3x-5}7=\frac{5x+78}{28}\)

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Answer 1

\(\frac{6x-7}4+\frac{3x-5}7=\frac{5x+78}{28}\) 

⇒ \(\frac{7(6x-7)+4(3x-5)}{28}\) = \(\frac{5x+78}{28}\) (By taking LCM)

⇒ 42x - 49 + 12x - 20 = 5x + 78

(Multiplying both sides by 28)

⇒ 54x - 5x = 78 - 69

⇒ 49x = 147

⇒ x = 147/49 = 21/7 = 3