/*! 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 34 Solve and check each equation. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 34

Solve and check each equation. \(3(5-x)=4(2 x+1)\)

Short Answer

Expert verified
The solution for \(x\) in the given equation is \(x = 1\)

Step by step solution

01

Distributing the terms

In the first step distribute the terms outside the brackets to the terms inside the bracket: \(15 - 3x = 8x + 4\)
02

Rearrange the equation

Combine the like terms. Move all terms involving x to one side of the equation, and the constant terms to the other side. This leads to a simplified equation with x alone on one side: \(3x + 8x = 15 - 4\)
03

Solve for x

After computing, we obtain \(11x = 11\), which simplifies to \(x = 1\)
04

Check the solution

Substitute \(x = 1\) back into the original equation to verify the solution. After substitution, the equation reads \(3(5 - 1) = 4(2*1 + 1)\), which simplifies to \(12 = 12\) proving that \(x = 1\) is indeed the solution.

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

Solve the quadratic equations by factoring. \(2 x^{2}=7 x+4\)

Solve the equations using the quadratic formula. \(x^{2}+4 x=6\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}-25 x-28\)

Solve the quadratic equations by factoring. \(x^{2}+7 x=18\)

The formula$$N=\frac{t^{2}-t}{2}$$describes the number of football games, \(N\), that must be played in a league with \(t\) teams if each team is to play every other team once. Use this information to solve. If a league has 45 games scheduled, how many teams belong to the league, assuming that each team plays every other team once?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

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.