Exercise 5 Page 388

We will solve the equation by isolating x on one side. We can use the Addition Property of Equality to add 6 to both sides of the equation. This will eliminate the subtraction and isolate x. Let's do it!

x-6=8

AddEqn

LHS+6=RHS+6

x-6 + 6 = 8+ 6

AddTerms

Add terms

x = 14

Now we want to check our answer and make sure our solution is correct. Let's substitute x=14 into the original equation and simplify.

x - 6 = 8

Substitute

x= 14

14-6=8

SubTerm

Subtract term

8=8 ✓

Since the left-hand side and right-hand side are equal, x=14 is the correct solution.

Extra

Properties of Equality

There are four main Properties of Equality that we use when solving linear equations.

Properties of Equality
Addition Property of Equality	If a=b, then a+c=b+c.
Subtraction Property of Equality	If a=b, then a-c=b-c.
Multiplication Property of Equality	If a=b, then ac=bc.
Division Property of Equality	If a=b and c is not 0, then ac= bc.