Exercise 12 Page 95

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using inverse operations. In this case, we need to start by adding 6x to both sides of the equation to isolate the x-terms on the right-hand side. Now, we will add 2 to both sides of the equation to isolate the constant terms on the left-hand side.

6=2x-2

AddEqn

LHS+ 2=RHS+ 2

6+ 2=2x-2+ 2

AddTerms

Add terms

8=2x

Finally, to solve the equation we should divide both sides by 2. It is the number standing next to the variable.

8=2x

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Solve for x

DivEqn

.LHS / 2.=.RHS / 2.

8 ÷ 2 = 2x ÷ 2

CalcQuot

Calculate quotient

4=x

RearrangeEqn

Rearrange equation

x=4

The solution to the equation is x=4.