WEBVTT

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Here is the problem: negative x plus 6 equals negative 8x plus 8.

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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 8x to both sides.

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Subtract 6 from both sides.

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Divide both sides by 7.

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So the answer is x equals 2 over 7 approximately 0.28571429.

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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 0.28571429: left side equals 5.7142857, right side equals 5.7142857, which checks out.