Solving an equation with a variable on both sides infinite solutions

The video tutorial explains how to solve an equation by simplifying it and determining the type of solutions it may have. The instructor discusses the possibilities of having infinite, no, or one solution. By using the distributive property and verifying with examples, it is shown that the equation has infinite solutions. The tutorial concludes with a summary of the findings.

What are the possible outcomes when solving an equation?

• No solutions or infinite solutions

• Infinite solutions, no solutions, or one solution

• Only one solution

• Exactly two solutions

What should you look for when you see parentheses in an equation?

• Multiplicative property

• Distributive property

• Subtraction property

• Addition property

What does it mean if both sides of an equation are identical?

• The equation has no solution

• The equation has exactly one solution

• The equation has infinite solutions

• The equation is unsolvable

If you plug in any number for the variable and the equation holds true, what does this indicate?

• The equation has no solution

• The equation has exactly one solution

• The equation has infinite solutions

• The equation is incorrect

What happens when you subtract the same term from both sides of an equation with identical sides?

• You get a false statement

• You get a new equation

• You get a contradiction

• You get a true statement like 4 = 4