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: 23

Answer

x=45

Work Step by Step

Simplifying x + 3 = 4(57 + -1x) Reorder the terms: 3 + x = 4(57 + -1x) 3 + x = (57 * 4 + -1x * 4) 3 + x = (228 + -4x) Solving 3 + x = 228 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + x + 4x = 228 + -4x + 4x Combine like terms: x + 4x = 5x 3 + 5x = 228 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 5x = 228 + 0 3 + 5x = 228 Add '-3' to each side of the equation. 3 + -3 + 5x = 228 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 228 + -3 5x = 228 + -3 Combine like terms: 228 + -3 = 225 5x = 225 Divide each side by '5'. x = 45 Simplifying x = 45
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.