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

-2x=-10
First Step:

x=5
addition property of equality
commutative property of addition
associative property of addition
division property of equality

When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?\newlineOriginal Equation:\newline2x=10 -2 x=-10 \newlineFirst Step:\newlinex=5 x=5 \newlineaddition property of equality\newlinecommutative property of addition\newlineassociative property of addition\newlinedivision property of equality

Full solution

Q. When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?\newlineOriginal Equation:\newline2x=10 -2 x=-10 \newlineFirst Step:\newlinex=5 x=5 \newlineaddition property of equality\newlinecommutative property of addition\newlineassociative property of addition\newlinedivision property of equality
  1. Identify Equation: Francesca's first step in solving the equation 2x=10-2x = -10 is to find the value of xx. She does this by dividing both sides of the equation by 2-2, which gives x=5x = 5. This step is justified by 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: (2x)/(2)=(10)/(2)(-2x) / (-2) = (-10) / (-2)\newlinex=5x = 5

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