Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 20

{18}

25 - 6x = -83 Step 1: Subtract 25 from both the sides 25 - 6x = -83 -25 Step 2: Simplify -6x = -108 Step 3: Divide both the sides by -6 $\frac{-6x}{-6}$ = $\frac{-108}{-6}$ Step 4: Simplify x = 18 Now we check the proposed solution, 18, by replacing x with 18 in the original equation. Step 1: the original equation 25 -6x = -83 Step2: Substitute 18 for x 25 - 6.(18) = -83 Step 3: Multiply 6.(18) = 108 25 - 108 = -83 Step 4: Solve 25 - 108= -83 -83 =- 83 Since the check results in true statement, we conclude that the solution set of the given equation is {18}