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

-2x=-8
First Step:

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

When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?\newlineOriginal Equation:\newline2x=8 -2 x=-8 \newlineFirst Step:\newlinex=4 x=4 \newlinedivision property of equality\newlinesubtraction property of equality\newlineassociative property of addition\newlinecommutative property of addition

Full solution

Q. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?\newlineOriginal Equation:\newline2x=8 -2 x=-8 \newlineFirst Step:\newlinex=4 x=4 \newlinedivision property of equality\newlinesubtraction property of equality\newlineassociative property of addition\newlinecommutative property of addition
  1. Transform Equation to x=4x = 4: Bianca's original equation is 2x=8-2x = -8. To solve for x, she needs to isolate the variable on one side of the equation. Her first step is to transform the equation into x=4x = 4. To do this, she would divide both sides of the original equation by 2-2, the coefficient of x.\newlineCalculation: (2x)/(2)=(8)/(2)(-2x) / (-2) = (-8) / (-2)\newlinex=4x = 4
  2. Division Property of Equality: By dividing both sides of the equation by 2-2, 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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