Elementary Technical Mathematics

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

Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises: 37

Answer

x=-8

Work Step by Step

Simplifying 8(x + -5) = 13x Reorder the terms: 8(-5 + x) = 13x (-5 * 8 + x * 8) = 13x (-40 + 8x) = 13x Solving -40 + 8x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -40 + 8x + -13x = 13x + -13x Combine like terms: 8x + -13x = -5x -40 + -5x = 13x + -13x Combine like terms: 13x + -13x = 0 -40 + -5x = 0 Add '40' to each side of the equation. -40 + 40 + -5x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -5x = 0 + 40 -5x = 0 + 40 Combine like terms: 0 + 40 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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