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:
[tex]a = b \to a + c = b + c[/tex], [tex]\forall\,a,b, c\,\in \,\mathbb{R}[/tex]
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:
[tex]a = b \to a + c = b + c[/tex], [tex]\forall\,a,b, c\,\in \,\mathbb{R}[/tex]
1) [tex](7\cdot x - 3) + 3 = (2\cdot x + 7) + 3[/tex] Associative property/Compatibility with addition
2) [tex]7\cdot x + [3 + (-3)] = 2\cdot x + (7 + 3)[/tex] Associative and commutative properties/Definition of subtraction
3) [tex]7\cdot x + 0 = 2\cdot x + 10[/tex] Existence of the additive inverse/Definition of addition
4) [tex]7\cdot x = 2\cdot x + 10[/tex] Modulative property/Result
