Question

Hi! please help. thank you!

Answer 1

Answer:

Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:

$a = b \to a + c = b + c$, $\forall\,a,b, c\,\in \,\mathbb{R}$

Step-by-step explanation:

Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:

$a = b \to a + c = b + c$, $\forall\,a,b, c\,\in \,\mathbb{R}$

1) $(7\cdot x - 3) + 3 = (2\cdot x + 7) + 3$ Associative property/Compatibility with addition

2) $7\cdot x + [3 + (-3)] = 2\cdot x + (7 + 3)$ Associative and commutative properties/Definition of subtraction

3) $7\cdot x + 0 = 2\cdot x + 10$ Existence of the additive inverse/Definition of addition

4) $7\cdot x = 2\cdot x + 10$ Modulative property/Result