WEBVTT

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Here is the problem: negative 4(x minus 1) equals 7x plus 5.

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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 7x from both sides.

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Subtract 4 from both sides.

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Divide both sides by negative 11.

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So the answer is x equals negative 1 over 11 approximately negative 0.090909091.

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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 0.090909091: left side equals 4.3636364, right side equals 4.3636364, which checks out.