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Justify each step in solving the equation 2x + 3 = 4(x - 6) by writing a reason for each statement

please help worth a lot of points Justify each step in solving the equation 2x 3 4x 6 by writing a reason for each statement class=

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linandrew41

Let's solve this problem step by step

[tex]2x+3=4(x-6)[/tex]    |    Given Equation

[tex]2x+3=4x-24[/tex]     |    Distributive Property of Multiplication over subtraction

[tex]3=2x-24[/tex]             |    Subtraction Property of Equality

[tex]27=2x[/tex]                   |     Subtraction Property of Equality

[tex]\frac{27}{2}=x[/tex]                     |     Division Property of Equality

Definition of each property:

  • Distributive Property of Multiplication over subtraction: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.
  • Subtraction Property of Equality: if the same value is subtracted from two equal sides, the differences remain the same
  • Division Property of Equality: if the same value is divided from two equal sides, the equation remains the same

Hope that helps!

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