WEBVTT

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Here is the problem: x minus 13 equals negative 7x minus 11.

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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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Add 7x to both sides.

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Add 13 to both sides.

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Divide both sides by 8.

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So the answer is x equals 1 over 4 approximately 0.25.

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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 0.25: left side equals negative 12.75, right side equals negative 12.75, which checks out.