Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.2 - Equations with Variables in Both Members - Exercises: 29

Answer

x=4

Work Step by Step

Simplifying 3x + 1 = 17 + -1x Reorder the terms: 1 + 3x = 17 + -1x Solving 1 + 3x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 3x + x = 17 + -1x + x Combine like terms: 3x + x = 4x 1 + 4x = 17 + -1x + x Combine like terms: -1x + x = 0 1 + 4x = 17 + 0 1 + 4x = 17 Add '-1' to each side of the equation. 1 + -1 + 4x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 17 + -1 4x = 17 + -1 Combine like terms: 17 + -1 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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