Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed.

The correct answer is

(1)distribution property

(2) combine like term

(3)additional of property

(4)Division property of equality

Step-by-step explanation:

Given equation,

4(x+5)=9x+4x-34

(1)Applying distribution property to remove the fraction

⇒4x+4.5=9x+4x-34

⇒4x+20=9x+4x-34

(2) combine like term

⇒4x-9x-4x =-34-20

(3)Applying additional of property, for adding like terms

⇒-9x= -54

(4)Applying division property of equality to get the value of x

⇒x=6

The correct answer is

(1)distribution property

(2) combine like term

(3)additional of property

(4)Division property of equality

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