WEBVTT

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Here is the problem: x/3 equals x/4 plus 1.

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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 4x from both sides.

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Divide both sides by 1 over 12 (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 12.

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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 12: left side equals 4, right side equals 4, which checks out.