Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Review Exercises - Page 99: 64

Answer

$-1$

Work Step by Step

Distribute $-4$ to obtain: $2x-20x-4=3x+17 \\-18x-4=3x+17$ Add $18x$ on both sides of the equation to obtain: $-4=21x+17$ Subtract $17$ on both sides of the equation to obtain: $-21 = 21x$ Divide by 21 on both sides of the equation to obtain: $\frac{-21}{21}=x \\-1=x$ Check: $2(-1)-4(5\cdot(-1)+1)=3\cdot(-1)+17 \\-2-4(-5+1)=-3+17 \\-2-4(-4)=14 \\-2+16=14 \\14=14$
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