Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 8 - Rational Functions - 8-5 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 541: 63

Answer

$x = -\frac{4}{5}$

Work Step by Step

Use distributive property first: $-3(x) + (-3)(-4) = 2(x) + 2(8)$ Multiply to simplify: $-3x + 12 = 2x + 16$ Subtract $2x$ from both sides of the equation to isolate variables on the left side of the equation: $-5x + 12 = 16$ Subtract $12$ from each side of the equation to isolate constants on the right side of the equation: $-5x = 4$ Divide both sides of the equation by $-5$ to solve for $x$: $x = -\frac{4}{5}$
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