5(2x + 4) = 50 (Given) 10x + 20 = 50 (Distributive Property) 10x = 30 (?) x = 3 (Division Property) Fill in the missing reason

5(2x + 4) = 50 (Given)
10x + 20 = 50 (Distributive Property)
10x = 30 (?)
x = 3 (Division Property)
Fill in the missing reason for the argument shown.


[tex]5(2x + 4) = 50 (Given) 10x + 20 = 50 (Distributive Property) 10x = 30 (?) x = 3 (Division Property)[/tex]

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This Post Has 10 Comments

  1. Subtraction.  

    Step-by-step explanation:

    We have been given an expression: [tex]7x+3x+4=24[/tex].

    Simplify our given expression:

    [tex](7+3)x+4=24[/tex]

    [tex]10x+4=24[/tex]

    Subtract 4 from both sides of equation:

    [tex]10x+4-4=24-4[/tex]

    [tex]10x=20[/tex]

    Divide both sides of equation by 10:

    [tex]\frac{10x}{10}=\frac{20}{10}[/tex]

    [tex]x=2[/tex]

    Therefore, the missing reason for the shown argument is subtraction.

  2. We go from 10x+20 = 50 to 10x = 30 after we subtract 20 from both sides. So we use the subtraction property (of equality).

    Choice D

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