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In terms of "k," find the value of "x" that satisfies the equation x - 0.5(k - 3x) = 1.5x - k.

User Conners
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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.

User Ackman
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