WEBVTT

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Here is the problem: 1.5x plus 2.25 equals 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 9 over 4 from both sides.

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

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So the answer is x equals 5 over 2 approximately 2.5.

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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 2.5: left side equals 6, right side equals 6, which checks out.