Question

Which property explains the step shown in solving the equation?5(x − 2) = 12x − 39 ⇒ 5x − 10 = 12x − 39

Answer 1

Hi there!

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I believe your answer is:

Distribution property

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Here’s why:

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From the first step to the next step, the 5 gets distributed into the 'x-2'. The distribution property is getting used.

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`5(x-2) = 12x -39\\\\\rightarrow5(x-2)\leftarrow\\\\\left \{ {{5*x=5x} \atop {5*-2=-10}} \right. \\\\\rightarrow5(x-2)=\boxed{5x - 10}\\\\\\5(x - 2) = 12x - 39\\\\\rightarrow\boxed{5x-10}=12x-39`

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Hope this helps you. I apologize if it’s incorrect.