Final answer:
To find the value of M when x is 3/2x+2m = 7/2, isolate the variable M by simplifying the equation and solving for m.
Step-by-step explanation:
To find the value of M when x is 3/2x+2m = 7/2, we need to isolate the variable M. Let's begin by simplifying the equation:
3/2x + 2m = 7/2
1.5x + 2m = 3.5
Next, we want to isolate the 2m term by subtracting 1.5x from both sides:
2m = 3.5 - 1.5x
Now, divide both sides of the equation by 2 to solve for m:
m = (3.5 - 1.5x) / 2
Therefore, the value of M when x is 3/2x+2m = 7/2 is (3.5 - 1.5x) / 2.