WEBVTT

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Here is the problem: negative 6(x plus 3) equals negative 7x minus 5.

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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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Add 7x to both sides.

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Add 18 to both sides.

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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 13.

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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 13: left side equals negative 96, right side equals negative 96, which checks out.