Question

What is the justification for each step in the solution of the equation? 4(4x+6)−7=77−4x Select from the drop-down menus to correctly justify each step.

4(4x+6)−7=77−4x Given
16x+24−7=77−4x Distributive Property
16x+17=77−4x Combine like terms
20x+17=77 ????????????
20x=60 ??????????????????
x=3 ???????????????????/

Answer 1

addition property, subtraction property, division property

Answer 2

The required properties are: addition property, subtraction property and division property.

Explanation:

Consider the provided equation.

Step 1: Given equation is:

4(4x + 6) - 7 = 77 - 4x

Step 2: Use the distributive property

16x + 24 - 7 = 77 - 4x

Step 3: Combine the like terms.

16x + 17 = 77 - 4x

Step 4: Use addition property of equality. Add 4x to both sides.

20x + 17 = 77

Step 5: Use subtraction property. Subtract 17 from both sides.

20x = 60

Step 6: Use division property. Divide both sides by 20.

x = 3

Hence, the required properties are: addition property, subtraction property and division property.