solution:
Solve the equation below.
\[
12+x=-3(4-x)
\]
Divide both sides by 2 to get the final answer: \(\boxed{x = 12}\)
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: \(\boxed{x = 12}\)