3 (m - 2) = 2 (3m + 3) Use the Distributive Property on both sides
3m - 6 = 6m + 6 Subtract 6m from both sides
-3m - 6 = 6 Add 6 to both sides
-3m = 12 Divide both sides by -3
m = -4
First, we group together the terms with variables in one side by subtracting 3/2 x and 5 from both sides of the equation.
(2/3)x - (3/2)x + 5 - 5 = (3/2)x - (3/2)x - 5
(-5/6)x = -5
The value of x from the equation is 6.
Answer:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

Step-by-step explanation:
For this case we have the following function for the profit:

And we can rewrite this expression like this:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

The difference will be

.
Remember that parentheses are needed for the second polynomial because the negative is distributed to all of its terms.
For this case, what you should see is where the graph cuts the x-axis.
Notice that the graph cuts to the x axis in three different points.
Then the value of x that is in the domain of the function in this case is:
x = 1
For this value of x the function is zero.
Answer:
x = 1