Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.4 Equations - R.4 Exercises - Page R-16: 7



Work Step by Step

The aim is, step by step, to isolate $m$ on one side of the equation. ...Multiply out the parentheses, starting with the innermost, working our way outwards: $ 2[3m-6+2m-4]=6m-4\qquad$ ... simplify $ 2(5m-10)=6m-4\qquad$ ... multiply $10m-20=6m-4$ ...Subtracting $6m$ from both sides removes it from the $RHS$ ...Adding $20$ to both sides removes it from the $LHS$ $10m-20=6m-4\qquad .../+20-6m$ $ 10m-6m=-4+20\qquad$ ... simplify $4m=16$ ...Dividing both sides with $4$ isolates $m$ on the LHS. $m=\displaystyle \frac{16}{4}=4$ solution: 4
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