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

5x+3=-4
First Step:

5x=-7
division property of equality
subtraction property of equality
commutative property of addition
associative property of multiplication

When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?\newlineOriginal Equation:\newline5x+3=4 5 x+3=-4 \newlineFirst Step:\newline5x=7 5 x=-7 \newlinedivision property of equality\newlinesubtraction property of equality\newlinecommutative property of addition\newlineassociative property of multiplication

Full solution

Q. When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?\newlineOriginal Equation:\newline5x+3=4 5 x+3=-4 \newlineFirst Step:\newline5x=7 5 x=-7 \newlinedivision property of equality\newlinesubtraction property of equality\newlinecommutative property of addition\newlineassociative property of multiplication
  1. Remove 33 from both sides: Francesca's original equation is 5x+3=45x + 3 = -4. To isolate the variable term 5x5x, she removes 33 from both sides of the equation. This is done by subtracting 33 from both sides.\newlineCalculation: 5x+33=435x + 3 - 3 = -4 - 3\newline5x=75x = -7
  2. Calculation: By subtracting 33 from both sides of the equation, Francesca has used the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.

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