WEBVTT

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Here is the problem: negative 3(x plus 1) equals 8x 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 8x from both sides.

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Add 3 to both sides.

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Divide both sides by negative 11.

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So the answer is x equals negative 5 over 11 approximately negative 0.45454545.

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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 0.45454545: left side equals negative 1.6363636, right side equals negative 1.6363636, which checks out.