Jose wrote the following steps to prove the equation: Given: 4(x + 1) = 10x – 8 Prove: x = 2 Step Mathematical Statement Justification 0 4(x + 1) = 10x – 8 Given 1 4x + 4 = 10x – 8 Distributive Property 2 4 = 6x – 8 Subtraction Property of Equality 3 12 = 6x Addition Property of Equality 4 6x = 12 Symmetric Property of Equality 5 x = 2 Associative Property of Multiplication Which step of justification is incorrect, and what should the justification for that step be to solve the equation?

Question

Jose wrote the following steps to prove the equation: Given:  4(x + 1) = 10x – 8 Prove:  x = 2   Step  Mathematical Statement  Justification  0  4(x + 1) = 10x – 8  Given  1  4x + 4 = 10x – 8  Distributive Property  2  4 = 6x – 8  Subtraction Property of Equality  3  12 = 6x  Addition Property of Equality  4  6x = 12  Symmetric Property of Equality 5  x = 2  Associative Property of Multiplication   Which step of justification is incorrect, and what should the justification for that step be to solve the equation?