WEBVTT

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Here is the problem: 3x minus 2(x minus 4).

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Simplify the polynomial expression in x.

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Read the expression.

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Distribute (multiply out every product). Each term in one factor multiplies each term in the other: a(b plus c) equals ab plus ac.

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Result after multiplying out.

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Combine like terms. x: 3 minus 2 equals 1. Like terms have identical variables and exponents, so only their coefficients are added.

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Write the result in standard form. Terms are ordered by descending total degree.

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So the answer is x plus 8.

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After expanding and combining like terms the expression is x plus 8, a polynomial of degree 1 with 2 terms.

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Spot check at x equals 0.73: original 8.73, simplified 8.73, which checks out.