Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Cumulative Review Exercises - Page 417: 4

Answer

$$x = - \frac{2}{3}$$

Work Step by Step

We use distributive property first: $$2x + 6 + 2x = x + 4$$ Subtract $x$ on both sides to isolate the variable to one side of the equation: $$2x + 6 + 2x - x = 4$$ Group like terms together: $$(2x + 2x - x) + 6 = 4$$ Combine like terms: $$3x + 6 = 4$$ Subtract $6$ from both sides to get the constants on one side of the equation: $$3x = - 2$$ Divide both sides by $3$ to solve for $x$: $$x = - \frac{2}{3}$$
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