Question

Solve the equation
8x/9+3= 5x/6+1​

Answer 1

$\orange{\large{ \longrightarrow \: \frac{8x}{9} + 3 = \frac{5x}{6} + 1 }}$

$\orange{\large{ \longrightarrow \: \frac{8x + 27}{9} = \frac{5x + 6}{6} }}$

Cross multiplying them we get:-

$\orange{\large{ \longrightarrow \: 6(8x + 27) = 9(5x + 6)}}$

$\orange{\large{ \longrightarrow \: 48x + 162 = 45x + 54}}$

$\orange{\large{ \longrightarrow \: 48x - 45x = 54 - 162}}$

$\orange{\large{ \longrightarrow \: 3x = - 108}}$

$\orange{\large{ \longrightarrow \: x = \frac{108}{3} }}$

$\green{\huge{ \Longrightarrow \: x = 36}}$

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Answer by:-

$\red{ \mathfrak{ \huge{ \bigstar \: @belwaldeepak123 \: \bigstar}}}$