solution: Solve the equation below. \[ 12+x=-3(4-x) \]

Step 1 ：Expand the equation by distributing the -3 to both terms inside the parentheses: \(12 + x = -3(4 - x)\) becomes \(12 + x = -12 + 3x\)

Step 2 ：Isolate x on one side of the equation: Subtract x from both sides to get \(12 = 2x - 12\)

Step 3 ：Add 12 to both sides to get \(24 = 2x\)

Step 4 ：Divide both sides by 2 to get the final answer: \(\boxed{x = 12}\)