To solve for x in the equation 13x + 24 = 3x - 26, we need to simplify and isolate the variable x.
First, let's combine like terms by subtracting 3x from both sides of the equation:
13x - 3x + 24 = 3x - 3x - 26
10x + 24 = -26
Next, let's isolate the variable x by subtracting 24 from both sides of the equation:
10x + 24 - 24 = -26 - 24
10x = -50
Finally, divide both sides of the equation by 10 to solve for x:
(10x)/10 = -50/10
x = -5
Therefore, the solution to the equation is x = -5.