Solve for x : 13x+24=3x−26 .

To solve for x, we need to isolate the x terms on one side of the equation and the constant terms on the other side.

Starting with the given equation:
13x + 24 = 3x - 26

First, let's eliminate the x term on the right side by subtracting 3x from both sides:
13x - 3x + 24 = 3x - 3x - 26
10x + 24 = -26

Next, let's eliminate the constant term on the left side by subtracting 24 from both sides:
10x + 24 - 24 = -26 - 24
10x = -50

Finally, let's solve for x by dividing both sides of the equation by 10:
10x/10 = -50/10
x = -5

Therefore, the solution to the equation 13x + 24 = 3x - 26 is x = -5.