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: 38

Answer

x=5

Work Step by Step

Simplifying 4(x + 2) = 30 + -1(x + -3) Reorder the terms: 4(2 + x) = 30 + -1(x + -3) (2 * 4 + x * 4) = 30 + -1(x + -3) (8 + 4x) = 30 + -1(x + -3) Reorder the terms: 8 + 4x = 30 + -1(-3 + x) 8 + 4x = 30 + (-3 * -1 + x * -1) 8 + 4x = 30 + (3 + -1x) Combine like terms: 30 + 3 = 33 8 + 4x = 33 + -1x Solving 8 + 4x = 33 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 4x + x = 33 + -1x + x Combine like terms: 4x + x = 5x 8 + 5x = 33 + -1x + x Combine like terms: -1x + x = 0 8 + 5x = 33 + 0 8 + 5x = 33 Add '-8' to each side of the equation. 8 + -8 + 5x = 33 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 33 + -8 5x = 33 + -8 Combine like terms: 33 + -8 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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