WEBVTT

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Here is the problem: negative 3(x plus 3) equals 3x plus 2.

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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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Subtract 3x from both sides.

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Add 9 to both sides.

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Divide both sides by negative 6.

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So the answer is x equals negative 11 over 6 approximately negative 1.8333333.

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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 1.8333333: left side equals negative 3.5, right side equals negative 3.5, which checks out.