Question

When solving 4x-3=5 the property used in the first step is the____ property of equality

Answer 1

x = 2

Explanation:

4x-3 + 3 = 5 + 3

4x = 8

4x ÷ 4 = 8 ÷ 4

x = 2

Answer 2

Hi there!

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I believe your answer is:

"When solving 4x-3=5 the property used in the first step is the addition property of equality."

`\boxed{x = 2}`

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Here’s why:

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• We would 'undo' operations to solve for x.
• We would have to remove the '-3' first. Since the opposite of subtraction is addition, we would use the addition property of equality.

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`\boxed{\text{Solving for 'x'....}}\\\\4x-3=5\\----------\\\text{\textbf{Addition Property of Equality:} Add three on both sides.}}\\\\\rightarrow 4x - 3 = 5 \\\rightarrow 4x -3 + 3 = 5 + 3\\\\\rightarrow \boxed{4x = 8}\\\\\text{\textbf{Division Property of Equality:} Divide both sides by 4.}}\\\\\rightarrow {4x=8}\\\rightarrow (4x=8)/(4)\\\\\rightarrow \boxed{x = 2}`

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Hope this helps you. I apologize if it’s incorrect.