Solving an equation with variables on both side and one solution

The video tutorial explains how to solve equations with variables on both sides. It discusses the possible outcomes of such equations: no solution, one solution, or infinitely many solutions. The instructor emphasizes the importance of isolating the variable and suggests eliminating the smaller variable to avoid negative numbers. A step-by-step example is provided, demonstrating how to solve the equation 3X + 4 = 5X - 10, resulting in a single solution, X = 7.

What are the possible outcomes when solving an equation with variables on both sides?

• No solutions or one solution

• Infinite solutions only

• Only one solution

• No solutions, one solution, or infinite solutions

Why is it recommended to eliminate the smaller variable when solving equations?

• To make the equation more complex

• To avoid dealing with negative numbers

• To increase the number of steps

• To ensure there are no solutions

What operation is used to eliminate a variable from one side of the equation?

• Multiplication

• Division

• Subtraction

• Addition

What is the next step after combining like terms in an equation?

• Multiply both sides by zero

• Add or subtract to isolate the variable

• Divide by zero

• Switch the sides of the equation

What is the final solution for the equation 3X + 4 = 5X - 10?

• X = 7

• X = 10

• X = 5

• X = 0