Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Practice and Problem-Solving Exercises - Page 106: 26



Work Step by Step

$5g-20+12g=1-g$ (Distributive Property: Combine like terms on each side) $17g-20=1-g$ (Addition Property of Equality: Add g to each side) $18g-20=1$ (Addition Property of Equality: Add 20 to each side) $18g=21$ (Division Property of Equality: Divide each side by 18) $g=\frac{21}{18}$ (Simplify) $g=\frac{7}{6}$ (Check answer by substituting solution back into the original equation and simplifying.) $5\times\frac{7}{6}+4(-5+3\times\frac{7}{6})=1-\frac{7}{6}$ (Multiply by the least common denominator 6) $5\times7+24(-5+\frac{7}{2})=6-7$ (Simplify) $35-120+84=-1$ $-1=-1$
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