Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points)

Distributive Property
Subtraction Property of Equality
Combine Like Terms
Multiplication Property of Equality
Division Property of Equality
Given
Addition Property of Equality

answer:

Part A: x = 6 Part B: answered in Explanation

Step-by-step explanation:

5(x +2) = 6x + 3x -14, first distribute on the left and combine like terms on the right.

5x + 10 = 9x - 14, subtract 5x from both sides and add 14 to both sides

24 = 4x, divide both sides by 4

6 = x

Part B: Distributive Property: distribute the 5 to the (x+2)

Combine Like Terms: any term with the same variable being combined ( 6x + 3x)

Subtraction, Addition, Division Properties of Equality: This simply means that what you do to one side you do to the other, as I indicated in the bold parts ( subtract 5x from both sides...)

answer:

Step 1: Combine like terms. ⇒ 10x - 18 = 6(x + 3) Step 2: Distributive Property. Step 3: Subtraction Property of Equality. Step 4: Combining like terms. Step 5: Addition Property of Equality. Step 6: Division Property of Equality.

Step-by-step explanation:

im not really smart ;-; im just gessing

answer: .75 km

step-by-step explanation:

$15 each

step-by-step explanation:

$45/3 children= $15 each