Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 10

{-5}

5x = -25 Step 1: Divide both the sides by 5 $\frac{5x}{5}$ = $\frac{-25}{5}$ Step 2: Simplify x= -5 Now we check the proposed solution, -5, by replacing x with -5 in the original equation. Step 1: the original equation 5x =-25 Step2: Substitute -5 for x 5.(-5) = -25 Step 3: Solve 5.(-5)=-25 -25 =-25 Since the check results in true statement, we conclude that the solution set of the given equation is {-5}.