## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises - Page 243: 59

x = 6.204545455

#### Work Step by Step

Simplifying 0.089x + -0.32 + 0.001(5 + -1x) = 0.231 0.089x + -0.32 + (5 * 0.001 + -1x * 0.001) = 0.231 0.089x + -0.32 + (0.005 + -0.001x) = 0.231 Reorder the terms: -0.32 + 0.005 + 0.089x + -0.001x = 0.231 Combine like terms: -0.32 + 0.005 = -0.315 -0.315 + 0.089x + -0.001x = 0.231 Combine like terms: 0.089x + -0.001x = 0.088x -0.315 + 0.088x = 0.231 Solving -0.315 + 0.088x = 0.231 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.315' to each side of the equation. -0.315 + 0.315 + 0.088x = 0.231 + 0.315 Combine like terms: -0.315 + 0.315 = 0.000 0.000 + 0.088x = 0.231 + 0.315 0.088x = 0.231 + 0.315 Combine like terms: 0.231 + 0.315 = 0.546 0.088x = 0.546 Divide each side by '0.088'. x = 6.204545455 Simplifying x = 6.204545455

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