Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 25

{8}

3x +5 = 2x +13 Step 1 : Collect variable terms on one side and constants on the other side. subtract 2x from both the sides 3x - 2x +5 = 2x + 13- 2x Simplify x + 5 = 13 Subtract 5 from both the sides x + 5 - 5 = 13 -5 x = 8 Now we check the proposed solution,8 , by replacing x with 8 in the original equation. Step 1: the original equation 3x + 5 = 2x +13 Step2: Substitute 8 for x 3.8 + 5 = 2.8 +13 Step 3: Multiply 3.8 = 24, 2.8 = 16 24 + 5 = 16 + 13 Step 4: Solve 29 = 29 Since the check results in true statement, we conclude that the solution set of the given equation is {8}