Elementary Technical Mathematics

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

Chapter 6 - Review: 14

Answer

x=-2

Work Step by Step

Simplifying 6(x + 7) + -5(x + 8) = 0 Reorder the terms: 6(7 + x) + -5(x + 8) = 0 (7 * 6 + x * 6) + -5(x + 8) = 0 (42 + 6x) + -5(x + 8) = 0 Reorder the terms: 42 + 6x + -5(8 + x) = 0 42 + 6x + (8 * -5 + x * -5) = 0 42 + 6x + (-40 + -5x) = 0 Reorder the terms: 42 + -40 + 6x + -5x = 0 Combine like terms: 42 + -40 = 2 2 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 2 + 1x = 0 Solving 2 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 0 + -2 1x = 0 + -2 Combine like terms: 0 + -2 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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