Question

Marta solved an equation. Her work is shown below. equation: 2(x-4) + 2x = x+7 line 1: 2x 81+ 2x = x + 7 line 2: 4x8=x+7 line 3: 3x - 8 = 7 line 4: 3x = 15 line 5: x = 5 Which step in Marta's work is justified by the distributive property?​

Answer 1

Explanation:

The distributive property of multiplication over addition states that for any numbers a, b, and c, a × (b + c) = a × b + a × c.

Looking at Marta's work, we can see that the distributive property was used in line 1, where she distributed the 2 to both terms inside the parentheses:

2(x - 4) + 2x = x + 7

2x - 8 + 2x = x + 7

4x - 8 = x + 7

Therefore, the step in Marta's work that is justified by the distributive property is line 1, where she distributed the 2 to both terms inside the parentheses.