Answer:
m = - 31
Step-by-step explanation:
Given
[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]
Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions
21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis
21m - 21 - 14m + 28 = 6m - 24
7m + 7 = 6m - 24 ( subtract 6m from both sides )
m + 7 = - 24 ( subtract 7 from both sides )
m = - 31
