Question

2 (m-2)-3 (m-3)=5 (m-5)-4 (m-8)​

Answer 1

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Answer 2

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Explanation:

$= > 2(m - 2) - 3(m - 3) = 5(m - 5) - 4(m - 8)$

$= > 2m - 4 - 3m + 9 = 5m - 25 - 4m + 32$

$= > - m + 5 = m + 7$

$= > - m - m = 7 - 5$

$= > - 2m = 2$

$= > m = \frac{2}{ - 2} = - 1$

$\bold{\boxed{\boxed{\red{m=-1}}}}$

Concept used

When we divide any or mutiply any negative value with positive value the resultant would be in negative.

$\huge\mathbb{CHECK}$

$2 (m-2)-3 (m-3)=5 (m-5)-4 (m-8)$

$= > 2( - 1 - 2) - 3( - 1 - 3) = 5( - 1 - 5) - 4( - 1 - 8)$

$= > 2 \times - 3 - 3 \times - 4 = 5 \times - 6 - 4 \times - 9$

$= > - 6 + 12 = - 30 + 36$

$6 = 6$