Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises: 17

Answer

x = 1.142857143

Work Step by Step

Simplifying 3x + -7 + 17(1 + -1x) = -6 3x + -7 + (1 * 17 + -1x * 17) = -6 3x + -7 + (17 + -17x) = -6 Reorder the terms: -7 + 17 + 3x + -17x = -6 Combine like terms: -7 + 17 = 10 10 + 3x + -17x = -6 Combine like terms: 3x + -17x = -14x 10 + -14x = -6 Solving 10 + -14x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -14x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = -6 + -10 -14x = -6 + -10 Combine like terms: -6 + -10 = -16 -14x = -16 Divide each side by '-14'. x = 1.142857143 Simplifying x = 1.142857143
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