Introductory Algebra for College Students (7th Edition)

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

Chapter 3 - Cumulative Review Exercises - Page 279: 5


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

Work Step by Step

To solve this equation, you need to isolate $x$. First, you want to get rid of the fractions by multiplying each term by the least common denominator, which is $4$, in this case: $$4(x) - 4(\frac{3}{4}) = 4(\frac{1}{2})$$ Divide out common factors to get rid of the fractions: $$4x - 3 = 2$$ Add $3$ to each side of the equation to isolate the $x$ term: $$4x = 5$$ Divide each side by $4$ to solve for $x$: $$x = \frac{5}{4}$$
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