Solving Equations with Variables on Both Sides

The video tutorial covers solving equations with variables on both sides. It includes step-by-step examples demonstrating how to simplify equations, use the distributive property, and handle special cases like no solution or infinite solutions. The tutorial emphasizes the importance of organizing work and understanding each step in the process.

What is the first step in solving equations with variables on both sides?

• Isolate the variable

• Distribute if possible

• Move all variables to one side

• Combine like terms

When moving variables to one side, what operation is used to eliminate a variable from one side?

• Multiplication

• Addition

• Division

• Subtraction

Why is it important to add all information into your table of contents?

• To keep track of solved equations

• For easy reference and organization

• To calculate the final answer

• To ensure all variables are accounted for

In the second example, what is the value of x?

• 5

• 2

• 3

• 4

What is the purpose of boxing the variable in the solving process?

• To perform inverse operations

• To separate it from other terms

• To indicate it's been solved for

• To highlight it for later steps

In the third example, after distributing and combining like terms, what is the next step?

• Combine all constants

• Isolate the variable immediately

• Check for any possible distribution again

• Move all variables to one side

What does distributing involve in solving equations?

• Isolating the variable

• Moving variables to one side

• Multiplying terms outside the parentheses by those inside

• Combining like terms

What does it mean when all variables cancel out in an equation?

• The equation has exactly one solution

• The equation has no solution

• The equation is incorrect

• The equation has infinitely many solutions

How do you determine if an equation with variables on both sides has no solution?

• If the variables do not cancel out

• If only one variable remains

• If the resulting statement is false

• If the resulting statement is true

What is the result of the final example?

• x = 0

• Infinitely many solutions

• No solution

• x = 5