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: 56

Answer

x=-17.5

Work Step by Step

Simplifying 14x + 14(3 + -2x) + 7 = 4 + -1x + 5(2 + -3x) 14x + (3 * 14 + -2x * 14) + 7 = 4 + -1x + 5(2 + -3x) 14x + (42 + -28x) + 7 = 4 + -1x + 5(2 + -3x) Reorder the terms: 42 + 7 + 14x + -28x = 4 + -1x + 5(2 + -3x) Combine like terms: 42 + 7 = 49 49 + 14x + -28x = 4 + -1x + 5(2 + -3x) Combine like terms: 14x + -28x = -14x 49 + -14x = 4 + -1x + 5(2 + -3x) 49 + -14x = 4 + -1x + (2 * 5 + -3x * 5) 49 + -14x = 4 + -1x + (10 + -15x) Reorder the terms: 49 + -14x = 4 + 10 + -1x + -15x Combine like terms: 4 + 10 = 14 49 + -14x = 14 + -1x + -15x Combine like terms: -1x + -15x = -16x 49 + -14x = 14 + -16x Solving 49 + -14x = 14 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 49 + -14x + 16x = 14 + -16x + 16x Combine like terms: -14x + 16x = 2x 49 + 2x = 14 + -16x + 16x Combine like terms: -16x + 16x = 0 49 + 2x = 14 + 0 49 + 2x = 14 Add '-49' to each side of the equation. 49 + -49 + 2x = 14 + -49 Combine like terms: 49 + -49 = 0 0 + 2x = 14 + -49 2x = 14 + -49 Combine like terms: 14 + -49 = -35 2x = -35 Divide each side by '2'. x = -17.5 Simplifying x = -17.5
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.