/*! 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 297 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 297

In the following exercises, solve for the unknown. $$ x+(-2)=-18 $$

Short Answer

Expert verified
\(x = -16\)

Step by step solution

01

Understand the equation

The given equation is \(x + (-2) = -18\). The goal is to solve for the unknown variable \(x\).
02

Isolate the variable

To isolate \(x\), we need to get rid of \(-2\) from the left side of the equation. We can do this by adding \(2\) to both sides of the equation.
03

Perform the addition

Add \(2\) to both sides of the equation: \(x + (-2) + 2 = -18 + 2\). Simplifying both sides, we get \(x = -16\).

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

isolating the variable
In any equation, our primary objective is to find the value of the unknown variable. This process is known as isolating the variable. To do this, we rearrange the equation so that the variable stands alone on one side of the equation. In our initial exercise, we are given the equation \(x + (-2) = -18\). Our goal here is to isolate \(x\). This means we need to remove any other numbers or variables from the left side where \(x\) is located.
addition
Addition is a fundamental operation in algebra used to manipulate equations and isolate variables. To isolate \(x\) in our equation, \(x + (-2) = -18\), we need to neutralize the effect of
simplifying equations
Simplifying equations involves combining like terms and performing basic arithmetic operations to make equations easier to solve. Once we have performed addition in the previous step, we get: \(x + (-2) + 2 = -18 + 2\). Comb ...

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

In the following exercises, solve the given applications. Temperature One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. What was the afternoon temperature?

In the following exercises, model the following. $$ 2-(-5) $$

In the following exercises, translate each of the following phrases into expressions with positive or negative numbers. a temperature of 10 below zero

In the following exercises, simplify. $$ -6(-9) $$

In the following exercises, evaluate. $$ (-2 r)^{2} \text { when } r=3 $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Geometry

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.