Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 29

{2}

7x + 4 = x + 16 Step 1 : Collect variable terms on one side and constants on the other side. subtract x from both the sides 7x + 4 - x = x +16 -x Simplify 6x + 4 = 16 Subtract 4 from both the sides 6x + 4 -4 = 16 - 4 Simplify 6x = 12 Divide both the sides by 6 $\frac{6x}{6}$ = $\frac{12}{6}$ x =2 Now we check the proposed solution,2 , by replacing x with 2 in the original equation. Step 1: the original equation 7x + 4 = x + 16 Step2: Substitute 2 for x 7.(2) + 4 = 2 + 16 Step 3: Multiply 7.2 = 14 14 + 4 = 2 + 16 Step 4: Solve 18 = 18 Since the check results in true statement, we conclude that the solution set of the given equation is {2}