WEBVTT

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Here is the problem: 3t minus 7 equals 2t plus 5.

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A linear equation in t: isolate t 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 2t from both sides.

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Add 7 to both sides.

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So the answer is t equals 12.

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Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves t alone.

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t equals 12: left side equals 29, right side equals 29, which checks out.