Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 28

{-19}

13x + 14 = -5 + 12x Step 1 : Collect variable terms on one side and constants on the other side. subtract 12x from both the sides 13x + 14 - 12x = -5 +12x -12x Simplify x + 14 = -5 Subtract -14 from both the sides x + 14 -14 = -5 -14 Simplify x = -19 Now we check the proposed solution,-19 , by replacing x with -19 in the original equation. Step 1: the original equation 13x + 14 = -5 + 12x Step2: Substitute -19 for x 13(-19) + 14 = -5 + 12(-19) Step 3: Multiply 13(-19) = 13 .-19 = -247, 12(-19) = 12. -19 = -228 -247 + 14= -228 - 5 Step 4: Solve -233 = -233 Since the check results in true statement, we conclude that the solution set of the given equation is {-19}