Question

Solve. $$3(2 x-5)+4=2(4 x+3)$$

Name: Problem 32, Chapter 1: Algebra and Trigonometry
Uploaded: 2020-07-23T05:54:05-08:00
Duration: 58 s
Channel: Ankit Gupta
Description: Solve. 3(2 x-5)+4=2(4 x+3)

   Solve.
$$3(2 x-5)+4=2(4 x+3)$$

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 1, Problem 32

Instant Answer

Solved by Expert Ankit Gupta

07/23/2020

Step 1

This gives us: $$6x - 15 + 4 = 8x + 6$$ Show more…

Show all steps

Thanks for your feedback!

Solve. $$3(2 x-5)+4=2(4 x+3)$$

Play audio

Feedback

Ankit Gupta and 89 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Distributive Property

This property allows you to multiply a term outside the parentheses by each term inside the parentheses, effectively removing the parentheses and simplifying the expression. It is a fundamental step in handling linear equations that involve parentheses.

Combining Like Terms

Combining like terms involves summing coefficients of the same variable or consolidating constants. This step simplifies the equation, reducing it to a form where the variable can be more easily isolated.

Balancing Equations

Balancing equations requires that any operation performed on one side of the equation is also performed on the other side. This maintains the equality and is crucial when solving for the unknown variable.

Isolating the Variable

Isolating the variable entails rearranging the equation so that the unknown appears on one side by itself. This is achieved through inverse operations and is the final step in solving linear equations.

Please give Ace some feedback