WEBVTT

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Here is the problem: 6(x minus 3) equals negative 6x 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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Simplify each side (distribute and combine like terms).

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Add 6x to both sides.

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Add 18 to both sides.

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Divide both sides by 12.

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So the answer is x equals 13 over 6 approximately 2.1666667.

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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 2.1666667: left side equals negative 5, right side equals negative 5, which checks out.