WEBVTT

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Here is the problem: (x plus 5)/5 plus (x plus 1)/2 equals negative 10.

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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 3 over 2 from both sides.

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Divide both sides by 7 over 10 (multiply by its reciprocal).

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So the answer is x equals negative 115 over 7 approximately negative 16.428571.

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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 16.428571: left side equals negative 10, right side equals negative 10, which checks out.