Question

2m÷3+8(m-2)=3m÷2-2(m-1)

Answer 1

Answer:

$\implies \dfrac{2m}{3} + 8( m - 2 ) = \dfrac{3m}{2} - 2 ( m - 1 )\\\\\implies \dfrac{2m}{3} + 8m - 16 = \dfrac{3m}{2} - 2m + 2\\\\\implies \dfrac{ 2m + 24m - 48}{3} = \dfrac{ 3m - 4m + 4}{2}\\\\\implies \dfrac{ 26m - 48}{3} = \dfrac{ 4 - m}{2}\\\\\textsf{Cross Multiplying we get,}\\\\\implies 2 ( 26m - 48 ) = 3 ( 4 - m )\\\\\implies 52m - 96 = 12 - 3m\\\\\implies 52 m + 3m - 12 + 96\\\\\implies 55m = 108\\\\\implies \boxed{ m = \dfrac{108}{55}}$

Answer 2

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