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: 25

Answer

x = 0.75

Work Step by Step

Simplifying -4x + 2 = 8x + -7 Reorder the terms: 2 + -4x = 8x + -7 Reorder the terms: 2 + -4x = -7 + 8x Solving 2 + -4x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -4x + -8x = -7 + 8x + -8x Combine like terms: -4x + -8x = -12x 2 + -12x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -12x = -7 + 0 2 + -12x = -7 Add '-2' to each side of the equation. 2 + -2 + -12x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = -7 + -2 -12x = -7 + -2 Combine like terms: -7 + -2 = -9 -12x = -9 Divide each side by '-12'. x = 0.75 Simplifying x = 0.75
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