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

-4x=8
First Step:

x=-2
addition property of equality
distributive property of multiplication over addition
commutative property of addition
division property of equality

When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?\newlineOriginal Equation:\newline4x=8 -4 x=8 \newlineFirst Step:\newlinex=2 x=-2 \newlineaddition property of equality\newlinedistributive property of multiplication over addition\newlinecommutative property of addition\newlinedivision property of equality

Full solution

Q. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?\newlineOriginal Equation:\newline4x=8 -4 x=8 \newlineFirst Step:\newlinex=2 x=-2 \newlineaddition property of equality\newlinedistributive property of multiplication over addition\newlinecommutative property of addition\newlinedivision property of equality
  1. Find x value: Bianca's original equation is 4x=8-4x = 8. Her first step is to find the value of xx, which she states as x=2x = -2. To go from 4x=8-4x = 8 to x=2x = -2, Bianca must have divided both sides of the equation by 4-4. This is because dividing the term 4x-4x by 4-4 isolates xx, and dividing 88 by 4-4 gives xx11. Calculation: xx22 and xx33
  2. Division Property of Equality: By dividing both sides of the equation by 4-4, Bianca is using 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.\newlineNo further calculations needed.

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