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: 57

Answer

x = 0.7916666667

Work Step by Step

Simplifying 2.3x + -4.7 + 0.6(3x + 5) = 0.7(3 + -1x) Reorder the terms: 2.3x + -4.7 + 0.6(5 + 3x) = 0.7(3 + -1x) 2.3x + -4.7 + (5 * 0.6 + 3x * 0.6) = 0.7(3 + -1x) 2.3x + -4.7 + (3 + 1.8x) = 0.7(3 + -1x) Reorder the terms: -4.7 + 3 + 2.3x + 1.8x = 0.7(3 + -1x) Combine like terms: -4.7 + 3 = -1.7 -1.7 + 2.3x + 1.8x = 0.7(3 + -1x) Combine like terms: 2.3x + 1.8x = 4.1x -1.7 + 4.1x = 0.7(3 + -1x) -1.7 + 4.1x = (3 * 0.7 + -1x * 0.7) -1.7 + 4.1x = (2.1 + -0.7x) Solving -1.7 + 4.1x = 2.1 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. -1.7 + 4.1x + 0.7x = 2.1 + -0.7x + 0.7x Combine like terms: 4.1x + 0.7x = 4.8x -1.7 + 4.8x = 2.1 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -1.7 + 4.8x = 2.1 + 0.0 -1.7 + 4.8x = 2.1 Add '1.7' to each side of the equation. -1.7 + 1.7 + 4.8x = 2.1 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 4.8x = 2.1 + 1.7 4.8x = 2.1 + 1.7 Combine like terms: 2.1 + 1.7 = 3.8 4.8x = 3.8 Divide each side by '4.8'. x = 0.7916666667 Simplifying x = 0.7916666667
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.