Solve $3 x+k=c$ for $x$.

Subtract k from both sides: 3 x = c − k .
Divide both sides by 3: x = 3 c − k ​ .
The solution for x is x = 3 c − k ​ ​ .

Explanation

Understanding the equation We are given the equation 3 x + k = c and we want to solve for x . This means we want to isolate x on one side of the equation.

Isolating the x term First, we subtract k from both sides of the equation to get rid of the k term on the left side: 3 x + k − k = c − k 3 x = c − k

Solving for x Next, we divide both sides of the equation by 3 to isolate x :
3 3 x ​ = 3 c − k ​ x = 3 c − k ​

Final Answer Therefore, the solution is x = 3 c − k ​ .


Examples
Imagine you're baking a cake and need to adjust the recipe. If 'x' represents the amount of flour you need, 'k' is the amount you already added, and 'c' is the total amount required, solving this equation tells you exactly how much more flour to add. This kind of algebraic manipulation is useful in many real-life situations where you need to adjust quantities to meet a specific target.

Answered by GinnyAnswer | 2025-07-04

To solve 3 x + k = c for x , subtract k from both sides to get 3 x = c − k , and then divide by 3. Thus, the solution is (x = \frac{c - k}{3}.
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Answered by Anonymous | 2025-07-06