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: 27

Answer

x=22

Work Step by Step

Simplifying 5(x + -8) + -3x + -4 = 0 Reorder the terms: 5(-8 + x) + -3x + -4 = 0 (-8 * 5 + x * 5) + -3x + -4 = 0 (-40 + 5x) + -3x + -4 = 0 Reorder the terms: -40 + -4 + 5x + -3x = 0 Combine like terms: -40 + -4 = -44 -44 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -44 + 2x = 0 Solving -44 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 2x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = 0 + 44 2x = 0 + 44 Combine like terms: 0 + 44 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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