## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises - Page 243: 57

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

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.