Question

Given: 3x + 1 = 2 + 2x – 4
Prove: x = –3

Given the equation 3x + 1 = 2 + 2x – 4, use the commutative property to rearrange the terms so that like terms are next to one another. This gives the equation 3x + 1 = 2 – 4 + 2x. Then, use the associative property of addition to group the like terms. This gives the equation 3x + 1 = (2 – 4) + 2x. Next, combine like terms to get the equation 3x + 1 = – 2 + 2x.

Answer 1

Use the subtraction property of equality to subtract 2x from both sides of the equation. This gives the equation x + 1 = – 2. Then use the _________________________ to subtract 1 from both sides of the equation. This gives the solution x = –3. Therefore, given the equation 3x + 1 = 2 + 2x – 4, x is equal to –3.

Which justification was left out of the paragraph proof above?
Answer
Associative Property of Addition
Commutative Property of Subtraction
Addition Property of Equality
Subtraction Property of Equality

Answer 2

I would say subtraction property of equality
Since x + 1 = -2
could also be
x + 1 - 1 = -2 -1

Answer 3

okay. thankyou