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 - Page 240: 15

Answer

x=7

Work Step by Step

Simplifying -4x + 25 = 6x + -45 Reorder the terms: 25 + -4x = 6x + -45 Reorder the terms: 25 + -4x = -45 + 6x Solving 25 + -4x = -45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + -4x + -6x = -45 + 6x + -6x Combine like terms: -4x + -6x = -10x 25 + -10x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -10x = -45 + 0 25 + -10x = -45 Add '-25' to each side of the equation. 25 + -25 + -10x = -45 + -25 Combine like terms: 25 + -25 = 0 0 + -10x = -45 + -25 -10x = -45 + -25 Combine like terms: -45 + -25 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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