WEBVTT

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Here is the problem: (x minus 1)/6 plus (x minus 8)/6 equals 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 3 over 2 to both sides.

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Divide both sides by 1 over 3 (multiply by its reciprocal).

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So the answer is x equals 57 over 2 approximately 28.5.

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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 28.5: left side equals 8, right side equals 8, which checks out.