Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.1 - Linear Equations in One Variable - Exercise Set: 74

Answer

$x=\frac{2}{3}$

Work Step by Step

$-3(x-4)=10$ $-3x+12=10$ $(-3x+12)-12=10-12$ $-3x=-2$ $-3x\div-3=-2\div-3$ $x=\frac{2}{3}$ The error in the proposed solution was that when the solver distributed $-3$, they forgot that $x-4=x+(-4)$. Since a negative number multiplied by a negative number is a positive number, the correct expression after distribution is not $-3x-12$, but $-3x+12$. Solve the equation accordingly to get the correct solution.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.