College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises: 99

Answer

$x=\frac{2d-b}{a-2c}$

Work Step by Step

$\displaystyle \frac{ax+b}{cx+d}=2$ We cross-multiply: $ax+b=2(cx+d)$ And distribute: $ax+b=2cx+2d$ And move $x$ terms to one side: $ax-2cx=2d-b$ And factor out $x$: $(a-2c)x=2d-b$ And solve for $x$: $x=\frac{2d-b}{a-2c}$
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