Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Cumulative Review Exercises - Page 1127: 10


The solution of the equation $-2\left( x-5 \right)+10=3\left( x+2 \right)$ is $2.8$.

Work Step by Step

Bring all the $ x $ terms on one side and the numbers on the other as given below: $\begin{align} & -2\left( x-5 \right)+10=3\left( x+2 \right) \\ & -2x+10+10=3x+6 \\ & 3x+2x=10+10-6 \\ & 5x=14 \end{align}$ By simplifying further, one gets: $\begin{align} & x=\frac{14}{5} \\ & x=2.8 \end{align}$ Thus, the solution of the equation is $2.8$.
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