WEBVTT

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Here is the problem: negative 5x minus 5 equals 4x plus 6.

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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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Subtract 4x from both sides.

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Add 5 to both sides.

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Divide both sides by negative 9.

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So the answer is x equals negative 11 over 9 approximately negative 1.2222222.

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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 1.2222222: left side equals 1.1111111, right side equals 1.1111111, which checks out.