Solving an equation with fraction where your variable is on both sides

The video tutorial explains how to solve equations involving fractions by eliminating the fractions using the least common multiple (LCM). It demonstrates the process of multiplying each term by the LCM to simplify the equation, followed by steps to isolate and solve for the variable X. The tutorial emphasizes the importance of performing operations equally on both sides of the equation to maintain balance.

What is the first step in solving equations with fractions?

• Divide each term by the largest denominator

• Subtract the smallest fraction

• Find the least common multiple of the denominators

• Add all fractions together

Why do we multiply each term by the least common multiple?

• To add more fractions

• To make the equation longer

• To eliminate the fractions

• To change the denominators

What happens when you multiply a fraction by its denominator?

• The fraction becomes a whole number

• The fraction becomes larger

• The fraction remains unchanged

• The fraction cancels out

What is the goal when solving for X in an equation?

• To make X negative

• To eliminate all numbers

• To add more variables

• To isolate X on one side

How do you ensure X is positive when solving an equation?

• Subtract X from both sides

• Add a positive number to both sides

• Multiply by zero

• Divide by negative one if necessary