Could someone check this equation for me please.I have added the steps I have done so far.

7x +9 = 5x-5
subtract 5x from both sides and simplify
2x+9=5
subtract 9 from both sides
2x=-4
divide by 2
x=-2
Thought I had done it right but each side does not add up equally if x = -2.

7x +9 = 5x-5

7x - 5x = -9 + (-5)
2x = -14
x = -7

Plug -7 in to see if it works.

I think you missed a minus sign in your work.

To check the equation 7x + 9 = 5x - 5 with x = -2, you simply substitute the value of x into the equation and evaluate both sides.

Let's start with the left side of the equation:

7x + 9

Substituting x = -2:

7(-2) + 9

Now let's simplify:

-14 + 9

This yields:

-5

Now, let's move on to the right side of the equation:

5x - 5

Substituting x = -2:

5(-2) - 5

Simplifying:

-10 - 5

This results in:

-15

As you can see, the left side of the equation (-5) does not equal the right side (-15) when x = -2.

Therefore, there seems to be an error in your calculations or in the original equation itself. Double-check your steps to ensure accuracy, such as properly distributing negatives, combining like terms, and applying the correct operations.