Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.5 - Equations - 1.5 Exercises - Page 56: 21


$2(1-x)=3(1+2x)+5$ Solution: $x=-\frac{3}{4}$

Work Step by Step

1. $2(1-x)=3(1+2x)+5$ 2. Distribute the 2 and the 3:$2-2x=3+6x+5$ 3. Combine like terms:$2-2x=8+6x$ 4. Add $2x$ to each side: $2=8+8x$ 5. Subtract 8 from each side: $-6=8x$ 6. Divide each side by 8:$x=-\frac{6}{8}$ 7. Reduce fraction: $x=-\frac{3}{4}$
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