Solve for x : 13x+24=3x−26 .(1 point)

1 answer

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

Starting with the given equation:

13x + 24 = 3x - 26

We can start by moving the 3x term to the left side by subtracting 3x from both sides:

13x - 3x + 24 = 3x - 3x - 26

This simplifies to:

10x + 24 = -26

Next, we can move the constant term to the other side by subtracting 24 from both sides:

10x + 24 - 24 = -26 - 24

This simplifies to:

10x = -50

Finally, we can solve for x by dividing both sides by 10:

10x/10 = -50/10

This simplifies to:

x = -5

So the solution is x = -5.