WEBVTT

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Here is the problem: 0.3x equals 0.9.

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A linear equation in x: isolate x using inverse operations.

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Start with the equation.

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Simplify each side (distribute and combine like terms).

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Divide both sides by 3 over 10 (multiply by its reciprocal).

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Now look at the graph of the left side minus the right side.

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It crosses zero exactly at the solutions we found.

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So the answer is x equals 3.

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Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

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x equals 3: left side equals 0.9, right side equals 0.9, which checks out.