Question

Please help worth a lot of points!!!

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

$\frac{27}{2}=x$                     |     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!