$9 x=6(x+4)$
Final Answer: The solution to the equation \(9x = 6(x + 4)\) is \(\boxed{8}\).
Step 1 :The given equation is \(9x = 6(x + 4)\).
Step 2 :To solve for x, we need to simplify the equation and isolate x on one side of the equation.
Step 3 :First, distribute the 6 on the right side of the equation to get \(9x = 6x + 24\).
Step 4 :Next, subtract 6x from both sides to get \(3x = 24\).
Step 5 :Finally, divide both sides by 3 to solve for x, which gives us \(x = 8\).
Step 6 :This means that when x = 8, both sides of the equation are equal.
Step 7 :Final Answer: The solution to the equation \(9x = 6(x + 4)\) is \(\boxed{8}\).