Solving an equation with variable on both sides No Solution

The video tutorial explains how to solve a multi-step equation by isolating the variable. It emphasizes the importance of simplifying both sides of the equation and using equivalent equations to maintain balance. The tutorial concludes that the given equation has no solution, as the values on both sides are not equal.

What is the first step in solving the equation 4X - 5 = 2 * (2X + 1)?

• Subtract 4X from both sides

• Distribute the 2 on the right side

• Add 5 to both sides

• Divide both sides by 2

What property is used to simplify the right side of the equation 4X - 5 = 2 * (2X + 1)?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

What happens when you subtract 4X from both sides of the equation 4X - 5 = 4X + 2?

• The equation becomes 5 = -2

• The equation becomes 0 = 0

• You get a true statement

• The equation becomes -5 = 2

Why is there no solution to the equation 4X - 5 = 4X + 2?

• Because the equation is inconsistent

• Because the variables cancel out

• Because the equation is an identity

• Because the equation has infinite solutions

What does it mean when an equation has no solution?

• The equation is always true

• The equation has multiple solutions

• The equation is undefined

• There is no value for the variable that satisfies the equation