$3(x+12)=8-4 x$

Step 1 ：The question is asking us to solve for x in the equation \(3(x+12)=8-4x\). To do this, we need to simplify the equation and isolate x on one side of the equation.

Step 2 ：First, distribute the 3 on the left side of the equation to get \(3x + 36 = 8 - 4x\).

Step 3 ：Next, add 4x to both sides of the equation to get \(7x + 36 = 8\).

Step 4 ：Then, subtract 36 from both sides of the equation to get \(7x = -28\).

Step 5 ：Finally, divide both sides of the equation by 7 to solve for x. This gives us \(x = -4\).

Step 6 ：The solution to the equation is x = -4. This means that if we substitute x with -4 in the original equation, both sides of the equation will be equal.

Step 7 ：Final Answer: The solution to the equation \(3(x+12)=8-4x\) is \(\boxed{-4}\).