WEBVTT

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Here is the problem: negative 5x plus 12 equals 6x minus 12.

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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 6x from both sides.

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Subtract 12 from both sides.

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Divide both sides by negative 11.

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So the answer is x equals 24 over 11 approximately 2.1818182.

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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 2.1818182: left side equals 1.0909091, right side equals 1.0909091, which checks out.