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: 17

Answer

x=2.75

Work Step by Step

Simplifying 6x + 4 = 10x + -7 Reorder the terms: 4 + 6x = 10x + -7 Reorder the terms: 4 + 6x = -7 + 10x Solving 4 + 6x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 6x + -10x = -7 + 10x + -10x Combine like terms: 6x + -10x = -4x 4 + -4x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -4x = -7 + 0 4 + -4x = -7 Add '-4' to each side of the equation. 4 + -4 + -4x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -7 + -4 -4x = -7 + -4 Combine like terms: -7 + -4 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75
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