Answer:
m = 84/31
Step 1: Simplify
[tex]\frac{3(m-1)-4}{5} =\frac{8-(2m+1)}{7}[/tex]
[tex]\frac{3(m-1)-4}{5}=\frac{8-(2m+1)}{7}[/tex]
Step 2: Cross multiply
[tex]7*\frac{3(m-1)-4}{5}=\frac{8-(2m+1)}{7}*5[/tex]
[tex]21m-49=-10+35[/tex]
Step 3: Add 10m to both sides
[tex]21m-49+10m=-10m+35+10m[/tex]
[tex]31m-49=35[/tex]
Step 4: Add 49 to both sides
[tex]31m-49+49=35+49[/tex]
[tex]31m=84[/tex]
Step 5: Divide both sides by 31
[tex]\frac{31m}{31} =\frac{84}{31}[/tex]
[tex]m=\frac{84}{31}[/tex]
