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: 30

Answer

x=-0.75

Work Step by Step

Simplifying 8x + -4(x + 2) + 11 = 0 Reorder the terms: 8x + -4(2 + x) + 11 = 0 8x + (2 * -4 + x * -4) + 11 = 0 8x + (-8 + -4x) + 11 = 0 Reorder the terms: -8 + 11 + 8x + -4x = 0 Combine like terms: -8 + 11 = 3 3 + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x 3 + 4x = 0 Solving 3 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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