Question

Consider the following equation: x − 0.5(k − 3x) = 1.5x − k. In terms of k, what does x equal? Enter your answer in the box.

Answer 1

To solve the equation x - 0.5(k - 3x) = 1.5x - k for x in terms of k, you combine like terms and isolate x to find that x equals -0.5k.

Step-by-step explanation:

To solve the Linear equation x − 0.5(k − 3x) = 1.5x − k for x in terms of k, we need to simplify and rearrange the terms. Let's start by expanding the left side:

x - 0.5k + 1.5x = 1.5x - k

Combine like terms:

2.5x - 0.5k = 1.5x - k

Now subtract 1.5x from both sides:

x - 0.5k = -k

Add 0.5k to both sides to isolate x:

x = -k + 0.5k

Combine the terms with k:

x = -0.5k

So, in terms of k, x equals -0.5k.