Answer
$x=\frac{4}{3}$
Work Step by Step
$(x-1)(x+2)=(x-2)(x-3)\displaystyle$
We distribute both sides:
$x^{2}+x-2=x^{2}-5x+6$
And simplify:
$x-2=-5x+6$
And combine $x$ terms:
$6x=8$
And solve for $x$:
$x=\frac{4}{3}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
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 - Page 60: 37
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