Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 26

{13}

2x - 7 = 6 + x Step 1 : Collect variable terms on one side and constants on the other side. subtract x from both the sides 2x - 7 -x = 6 + x -x Simplify x -7 = 6 Add 7 on both the sides x -7 + 7= 6+7 Simplify x = 13 Now we check the proposed solution,13 , by replacing x with 13 in the original equation. Step 1: the original equation 2x - 7 = 6 + x Step2: Substitute 13 for x 2 . 13 - 7 = 6 + 13 Step 3: Multiply 2.13 = 26 26 - 7 = 6 + 13 Step 4: Solve 19 = 19 Since the check results in true statement, we conclude that the solution set of the given equation is {13}