#### Answer

4x + (-2) = 5x + (-2);
x = 0

#### Work Step by Step

"The sum of 4 times a number and -2" translates to 4x + (-2).
"The sum of 5 times the number and -2" translates to 5x + (-2).
Therefore, the expression is:
4x + (-2) = 5x + (-2)
Solve for x:
-2 = x - 2
0 = x