I neede help with how to solve equations with variabls on both sides. Can you give me some examples and work them out step by step?? Please!! :D

If you post a couple of your problems, we'll be glad to help you solve them.

Problem:

-5k - 19 = 5 - 13k Solve for k.

-15n = 16 = 86 - 29n Solve for n.

Please help me !! :0

5k - 19 = 5 - 13k

Get the knowns on one side and the unknowns on the other.

5k + 13k = 5 + 19
18k = 25
k = 25/18
k = 1 7/18
_______________________

Please check your second problem. It has two equal signs.

Of course! I'd be happy to help you with solving equations with variables on both sides. Let's start with an example and go through the steps together.

Example: Solve the equation 3x - 4 = 2x + 7.

Step 1: Start by simplifying both sides of the equation. Here, we can begin by combining like terms. On the left side, we have 3x, and on the right side, we have 2x. To eliminate the x term on the right side, we'll subtract 2x from both sides of the equation:

3x - 4 - 2x = 2x + 7 - 2x

Simplifying this step, we get:

x - 4 = 7

Step 2: Now we want to isolate the variable 'x' on one side of the equation. To do this, we'll need to get rid of the constant term (-4) on the left side. We can do this by adding 4 to both sides of the equation:

x - 4 + 4 = 7 + 4

Simplifying further, we have:

x = 11

Step 3: Finally, we substitute the value of 'x' back into the original equation to check whether it is correct:

3x - 4 = 2x + 7

3(11) - 4 = 2(11) + 7

33 - 4 = 22 + 7

29 = 29

Since both sides of the equation are equal, we can confirm that the solution, x = 11, is correct.

Remember to always simplify, isolate the variable, and check your solution to make sure it satisfies the original equation. Let me know if you have any more questions!