## Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

# Chapter 1 - Section 1.5 - Equations - 1.5 Exercises: 21

#### Answer

$2(1-x)=3(1+2x)+5$ 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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