Variable m cannot be equal to any of the values −2,4 as division by zero is undefined. Multiply both sides of the equation by (m − 4)(m + 2), the lowest common denominator of 4−m,m + 2.
- −(2 + m) ×5 = (m −4 )( −3 )
To find the opposite of 2+m, find the opposite of each term.
- (−2 −m) ×5 = ( m−4 )( −3 )
Use the distributive property to multiply −2−m by 5.
Use the distributive property to multiply m−4 by −3.
Add 3m to both sides.
Combine −5m and 3m to get −2m.
Add 10 to both sides.
Add 12 and 10 to get 2.
Divide both sides by −2.
Divide 22 by −2 to get −11.
Therefore, the correct option is "B".
