Let's solve this problem step by step:
⇒ on one side, I solve the equaiton
⇒ on the other side, I give you the property that I use to solve the
equation
⇒ you don't need to write down those properties if your teachers
didn't ask you for it
[tex]4(5x-2)=2(9x+3)\\[/tex] | Given equation
[tex]20x-8=19x+6[/tex] | Distributive Multiplication over subtract/add
[tex]x=14[/tex] | Subtraction Property of Equality
Answer: x = 14
Definition of Properties:
- Distributive Property of Multiplication over subtraction/addition: it says that the product of a number and the difference/adding of two other numbers is equal to the difference/sum 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
