Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.1 Algebraic Expressions and Formulas - Exercise Set 6.1: 61

Answer

-10x +6

Work Step by Step

8x - 3[5 - (7 - 6x)] Step 1: Drop parentheses and change the sign of each term in parentheses: −(7-6x) = -7 +6x 8x -3[5-7+6x] Step 2 Simplify inside brackets: 5-7 = -2 8x - 3[-2 +6x] Step 3 Apply the distributive property: 8x - 3.-2 + -3.6x Step 4: Multiply 8x + 6 -18x Step 5: Group like terms (8x - 18x) + 6 Step 6: Combine the like terms (8x - 18x) = (8-18)x = -10x -10x +6
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