Exercise 7 Page 353

To solve the equation, we have to isolate x on one side. Let's simplify the right-hand side of the equation by adding the fractions. Then, we will use the Subtraction Property of Equality. When adding fractions with the common denominator, we add their numerators and keep the denominator the same.

1 = 1/8 + x + 2/8

CommutativePropAdd

Commutative Property of Addition

1 = x + 1/8 + 2/8

AddFrac

Add fractions

1 = x + 1 + 2/8

AddTerms

Add terms

1 = x + 3/8

SubEqn

LHS-3/8=RHS-3/8

1 - 3/8 = x

OneToFrac

Rewrite 1 as 8/8

8/8 - 3/8 = x

SubFrac

Subtract fractions

8 - 3/8 = x

SubTerm

Subtract term

5/8 = x

RearrangeEqn

Rearrange equation

x = 5/8