Answer:
m = [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
m - [tex]\frac{m-1}{2}[/tex] = 1 - [tex]\frac{m-2}{3}[/tex]
Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
6m - 3(m - 1) = 6 - 2(m - 2) ← distribute parenthesis on both sides
6m - 3m + 3 = 6 - 2m + 4 , that is
3m + 3 = - 2m + 10 ( add 2m to both sides )
5m + 3 = 10 ( subtract 3 from both sides )
5m = 7 ( divide both sides by 5 )
m = [tex]\frac{7}{5}[/tex]
