To solve the equation 5x + 8 - 3x = -10, combine like terms:
(5x - 3x) + 8 = -10
2x + 8 = -10
Next, isolate the variable x by subtracting 8 from both sides:
2x + 8 - 8 = -10 - 8
2x = -18
Finally, solve for x by dividing both sides by 2:
2x/2 = -18/2
x = -9
Therefore, the solution to the equation 5x + 8 - 3x = -10 is x = -9.