Given: 2x + 4 = 1 – 2x – 5 Prove: x = –2 Given the equation 2x + 4 = 1 – 2x – 5, use the commutative property to rearrange the terms so that like terms are next to one another. This gives the equation 2x + 4 = 1 – 5 – 2x. Then, use the associative property of addition to group the like terms. This gives the equation 2x + 4 = (1 – 5) – 2x. Next, combine like terms to get the equation 2x + 4 = –4 – 2x. Use the ___________________ to add 2x to both sides of the equation. This gives the equation 4x + 4 = –4. Then use the subtraction property of equality to subtract 4 from both sides of
the equation by 4 to give a final solution of x = –2. Therefore, given 2x + 4 = 1 – 2x – 5, x is equal to –2. Which justification was left out of the paragraph proof above?
Associative Property of Addition Subtraction Property of Equality Addition Property of Equality Commutative Property of Subtraction
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