Question

Please help worth a lot of points!!!

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

Answer 1

Let's solve this problem step by step

`2x+3=4(x-6)` | Given Equation

`2x+3=4x-24` | Distributive Property of Multiplication over subtraction

`3=2x-24` | Subtraction Property of Equality

`27=2x` | Subtraction Property of Equality

`(27)/(2)=x` | 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!