/*! 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 102 Solve each equation. \(0.5(x+2... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 102

Solve each equation. \(0.5(x+2)=0.1+3(0.1 x+0.3)\)

Short Answer

Expert verified
The solution to the equation is \(x = 0\).

Step by step solution

01

Distribute Constants

Let's start by multiplying the constants 0.5 and 3 into the brackets: \n\(0.5x + 1 = 0.1 + 0.3x + 0.9\).
02

Simplify Both Sides

After distributing, simplify both sides of the equation to obtain: \n\(0.5x + 1 = 1 + 0.3x\).
03

Isolate x

Bring the terms involving \(x\) to one side and the constants to the other side of the equation to result in: \n\(0.5x - 0.3x = 1 - 1\)\nWhich simplifies to\n\(0.2x = 0\).
04

Solve for x

Finally, divide both sides of the equation by 0.2 to find the value of \(x\): \n\(x = 0/0.2 = 0\).

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

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-14 x+45\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}+17 x+16\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-8 x+32\)

Solve each equation using the zero-product principle. \((x+9)(3 x-1)=0\)

Solve the quadratic equations by factoring. \(x^{2}-2 x-15=0\)
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

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.