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Answer:

The answer is B. x=5

Step-by-step explanation:

You start out with 4|0.5x-2.5|=0

1. Distribute 4 (multiply) to the numbers inside the absolute value sign. This gives us |2x-10|=0

2. To cancel out -10, we must add 10 to each side of the equation, giving us |2x|=10

3. To cancel out 2x, we divide 2 into both sides of the equation. This cancels out 2 and leaves us with x=5.

The solution to the linear equation  4|0.5x – 2.5| = 0 is (Option B). That is X = 5.

How is the above derived?

Begin with 4|0.5x-2.5| = 0

Next, Distribute 4 (multiply) to the numbers inside the absolute value sign.

→ |2x-10| = 0

Net cancel out -10 by adding 10 to each side of the equation, giving us

→ |2x| = 10

Next,  make x the subject of the equation by dividing both sides by 2

→ x = 10/2

x = 5

Learn more about linear equations at;
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