Solve the equation. 2m/3-1=3/4+m ( show work)

The first step is to get the variable on both sides, do this by subtracting m.

This leaves you with 2m/3 -1 -m = 3/4

Then multiply by 3 on both sides to eliminate the fraction.

This leaves you with 2m-3-3m = 9/4

Then isolate the variable by adding 3 to both sides.

This leaves you with 2m-3m = 3 9/4

This can simplify into -m = 5 1/4 or 21/4

Multiply by -1 to keep the variable positive

The final answer is m = -21/4 (or -5 1/4, your choice)