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: 11

Answer

x=6

Work Step by Step

Simplifying 7x + 9 = 9x + -3 Reorder the terms: 9 + 7x = 9x + -3 Reorder the terms: 9 + 7x = -3 + 9x Solving 9 + 7x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 9 + 7x + -9x = -3 + 9x + -9x Combine like terms: 7x + -9x = -2x 9 + -2x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + -2x = -3 + 0 9 + -2x = -3 Add '-9' to each side of the equation. 9 + -9 + -2x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -3 + -9 -2x = -3 + -9 Combine like terms: -3 + -9 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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