Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 17

{-17}

4x -14 = -82 Step 1: Add 14 on both the sides 4x -14 +14 = -82 +14 Step 2: Simplify 4x = -68 Step 3: Divide both the sides by 4 $\frac{4x}{4}$ = $\frac{-68}{4}$ Step 4: Simplify x = -17 Now we check the proposed solution, -17, by replacing x with -17 in the original equation. Step 1: the original equation 4x -14 = -82 Step2: Substitute -17 for x 4.(-17) - 14 =-82 Step 3: Multiply 4.(-17) = -68 -68 - 14 = -82 Step 4: Solve -68 - 14 = -82 -82 =-82 Since the check results in true statement, we conclude that the solution set of the given equation is {-17}