To solve the equation, we need to isolate the variable x.

First, let's simplify both sides of the equation:

-2/5 - x = 3/4 - 3x

To simplify the left side, we can find a common denominator for -2/5 and -x, which is 5:

-2/5 - x = -2/5 - 5x/5

Now, we can combine the terms on the left side:

-2/5 - x = (-2 - 5x)/5

Next, let's simplify the right side of the equation:

3/4 - 3x

To find a common denominator for 3/4 and -3x, we can multiply 3/4 by 5/5:

(3/4)(5/5) - 3x = 15/20 - 3x

Now, we can combine the terms on the right side:

15/20 - 3x = (15 - 60x)/20

Now, our equation becomes:

(-2 - 5x)/5 = (15 - 60x)/20

To eliminate the denominators, we can multiply both sides of the equation by 20:

20(-2 - 5x)/5 = 20(15 - 60x)/20

Simplifying further:

-4 - 20x = 15 - 60x

Now, let's isolate the x term by moving all the x terms to one side:

-20x + 60x = 15 + 4

40x = 19

Finally, divide both sides by 40 to solve for x:

x = 19/40