I don;t know how to solve the following equation.

9+6x=-6x+105
I have
-6x +6x
-105 -105
-96=12x
12 12
x=8

that's correct

To solve the equation 9 + 6x = -6x + 105, you need to isolate the variable x on one side of the equation.

Step 1: Combine like terms
Start by combining the terms with x on both sides of the equation. Add 6x to both sides of the equation to eliminate the -6x term on the right side.

9 + 6x + 6x = -6x + 6x + 105
Combine like terms on both sides:

12x + 9 = 105

Step 2: Move constant term to the other side
Next, move the constant term (9) to the right side of the equation by subtracting 9 from both sides:

12x + 9 - 9 = 105 - 9
Simplify both sides:

12x = 96

Step 3: Solve for x
To solve for x, divide both sides of the equation by the coefficient (number in front) of x, which is 12:

12x/12 = 96/12
Simplify:

x = 8

Therefore, the solution to the equation is x = 8.