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Question
- the steps used to solve the equation $2x + 8 = 20$ for $x$ are shown below. $2x + 8 = 20$ step i: $2x = 12$ step ii: $x = 6$ which property makes step i true? a. symmetric property of equality b. subtraction property of equality c. division property of equality d. reflexive property of equality
Brief Explanations
Step I is derived by subtracting 8 from both sides of the original equation $2x + 8 = 20$. The subtraction property of equality states that if you subtract the same number from both sides of an equation, the equality still holds. This matches the operation used to get $2x = 12$.
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B. Subtraction property of equality