WEBVTT

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Here is the problem: 2 over 3 x plus 1 over 2 equals 5 over 6.

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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 1 over 2 from both sides.

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Divide both sides by 2 over 3 (multiply by its reciprocal).

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So the answer is x equals 1 over 2 approximately 0.5.

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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 0.5: left side equals 0.83333333, right side equals 0.83333333, which checks out.