WEBVTT

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Here is the problem: (x plus 1)/2 equals (x minus 1)/3.

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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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Subtract 1 over 3x from both sides.

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Subtract 1 over 2 from both sides.

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Divide both sides by 1 over 6 (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 negative 5.

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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 negative 5: left side equals negative 2, right side equals negative 2, which checks out.