Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 9 - Basic Algebra - 9.7 Solving Equations with Several Steps - 9.7 Exercises: 65

Answer

x = 0

Work Step by Step

6 (x - 5) =-30 Step 1 : Use the distributive property on the left side of the equation. 6 (x - 5) = 6*x + 6*-5 or 6x -30 Now the equation looks like this. 6x -30 = -30 Step 2: Combine like terms. Check the left side of the equation. There are no like terms. Check the right side. No like terms there either, so go on to Step 3. Step 3: add 30 to both sides to get the variable term by itself on the right side 6x -30 +30= -30 +30 6x = 0 Step 4 : Divide both sides by 6. $\frac{6x}{6}$ = $\frac{0}{6}$ x= 0 Step 5: Check. Go back to the original equation 6 (x - 5) = -30 Replace x with 0 -30 = -30 True, so 0 is the correct solution
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