how do I solve 28 - 9x = -12 - 11x
I tried adding 9x to both sides adding 11x to both sides and doing a million different methods and after i got an answer I went to check it and it was wrong I really don't understand how to do these types of equations
28 - 9x = -12 - 11x
as you say, add 9x to both sides, and you get
28 = -12 - 2x
Now add 12 to both sides and you get
40 = -2x
Now divide by -2 and you get
-20 = x
There's no reason to add 11x to both sides after all the x's are together. If you did do that, you have
28-9x+9x+11x = -12-11x+9x+11x
2x+11x = -12+9x
and you're no better off than when you started.
To solve the equation 28 - 9x = -12 - 11x, we need to isolate the variable x on one side of the equation. Here is a step-by-step explanation of the process:
Step 1: Start by combining like terms.
28 - 9x = -12 - 11x
Step 2: To eliminate the variables on one side, we need to get rid of the x terms. Let's begin by adding 9x to both sides of the equation.
28 - 9x + 9x = -12 - 11x + 9x
On the left side, -9x and +9x cancel each other out, leaving just 28.
28 = -12 - 2x
Step 3: Now let's isolate the x variable by getting rid of the constant term on the right side. We can do this by adding 12 to both sides.
28 + 12 = -12 + 12 - 2x
40 = -2x
Step 4: Finally, divide both sides of the equation by -2 to solve for x.
40 / -2 = (-2x) / -2
-20 = x
So the solution to the equation 28 - 9x = -12 - 11x is x = -20.