Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.1 Linear Equations - 1.1 Exercises: 57

Answer

$x=\dfrac{m+4}{2m+5}$

Work Step by Step

$3x=(2x-1)(m+4)$ Evaluate the product on the right side: $3x=2mx+8x-m-4$ Take all the terms with $x$ to the left side: $3x-2mx-8x=-m-4$ Simplify the left side: $-5x-2mx=-m-4$ Change the sign of all terms on both sides of the equation: $5x+2mx=m+4$ Take out common factor $x$ from the left side: $x(2m+5)=m+4$ Take $2m+5$ to divide the right side: $x=\dfrac{m+4}{2m+5}$
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