Final answer:
The value of "x" that satisfies the given equation in terms of "k" is x = -0.5k, which is found by distributing, combining like terms, and isolating x.
Step-by-step explanation:
To find the value of "x" that satisfies the equation x - 0.5(k - 3x) = 1.5x - k, we first need to distribute the -0.5 into the parenthesis and simplify the equation.
Step 1: Distribute the -0.5 across the (k - 3x).
x - 0.5k + 1.5x = 1.5x - k
Step 2: Combine like terms on both sides of the equation.
2.5x - 0.5k = 1.5x - k
Step 3: We want to get all the x terms on one side and the k terms on the other.
2.5x - 1.5x = -k + 0.5k
x = -0.5k
The value of "x" that satisfies the equation in terms of "k" is x = -0.5k.