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When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?
Original Equation:

-5x=-20
First Step:

x=4
subtraction property of equality
division property of equality
associative property of multiplication
associative property of addition

When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?\newlineOriginal Equation:\newline5x=20 -5 x=-20 \newlineFirst Step:\newlinex=4 x=4 \newlinesubtraction property of equality\newlinedivision property of equality\newlineassociative property of multiplication\newlineassociative property of addition

Full solution

Q. When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?\newlineOriginal Equation:\newline5x=20 -5 x=-20 \newlineFirst Step:\newlinex=4 x=4 \newlinesubtraction property of equality\newlinedivision property of equality\newlineassociative property of multiplication\newlineassociative property of addition
  1. Identify Equation: Gabrielle's first step in solving the equation is going from 5x=20-5x = -20 to x=4x = 4. To determine which property justifies this step, we need to look at the operations performed. Gabrielle divided both sides of the equation by 5-5 to isolate xx. This is an application of the division property of equality, which states that if you divide both sides of an equation by the same nonzero number, the two sides remain equal.\newlineCalculation: 5x/5=20/5-5x / -5 = -20 / -5 leads to x=4x = 4.

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