/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 45 Solve each equation using both t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 45

Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$-5 x=-2 x-12$$

Short Answer

Expert verified
The solution to the equation \(-5x = -2x - 12\) is \(x = 4\)

Step by step solution

01

Isolate x terms on one side of the equation

First, add \(2x\) to both sides of the equation to get rid of the \(x\) on the right hand side. This gives us \(-5x + 2x = -12\), which simplifies to \(-3x = -12\).
02

Solve for x

Next, we divide every term by \(-3\) to solve for \(x\). This gives \(x = 4\).
03

Check the solution

We substitute 4 into the original equation \(-5x = -2x - 12\). This gives \(-5(4) = -2(4) - 12\) which simplifies to \(-20 = -8 - 12\), and further simplifies to \(-20 = -20\). Since both sides are equal, our solution is correct.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use both the addition and multiplication properties of inequality to solve each inequality and graph the solution set on a number line. $$7-2(x-4)<5(1-2 x)$$

Exercises \(91-93\) will help you prepare for the material covered in the next section. Is 6 a solution of \(2(x-3)-17=13-3(x+2) ?\)

Use properties of inequality to rewrite each inequality so that \(x\) is isolated on one side. $$-2 x-a \leq b$$

Use both the addition and multiplication properties of inequality to solve each inequality and graph the solution set on a number line. $$4(2 y-1)>12$$

$$\text { Solve: } x=4(90-x)-40$$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.