3m - 10 = 2(4m -5)
3m - 10 = 8m - 10
This equation is unsolvable. See what happens, when you add 10 to each side? Is there a typo?
M=0
To solve the equation 3m - 10 = 2(4m - 5), we will use the distributive property to simplify the expression on the right-hand side (RHS) first.
Distributing the 2 to the terms inside the parentheses gives:
3m - 10 = 8m - 10
Next, we can move all the variables (m terms) to one side of the equation and the constant terms (numbers without variables) to the other side.
Subtracting 8m from both sides:
-5m - 10 = -10
Now, let's isolate the variable by moving the constant term (-10) to the other side. We can do this by adding 10 to both sides:
-5m - 10 + 10 = -10 + 10
Simplifying both sides:
-5m = 0
Finally, to solve for m, we divide both sides of the equation by -5:
(-5m)/-5 = 0/-5
Simplifying both sides:
m = 0
Therefore, the solution to the equation 3m - 10 = 2(4m - 5) is m = 0.