Solving Equations with Distribution

The video tutorial explains how Steven solved the equation 6X = 3(X + 4). The first step involves distributing the 3 to simplify the equation to 6X = 3X + 12. The next step is to isolate the variable X by subtracting 3X from both sides, resulting in 3X = 12. Finally, dividing both sides by 3 gives the solution X = 4. The tutorial emphasizes understanding each step in the process of solving linear equations.

What is the initial equation that Steven is trying to solve?

• 6X = 3(X + 4)

• 6X = 3X + 4

• 6X = 3X + 12

• 6X = 12

What is the first step suggested to solve the equation?

• Subtract 3X from both sides

• Distribute the 3

• Divide both sides by 6

• Add 4 to both sides

After distributing the 3, what does the equation become?

• 6X = 3X

• 6X = 12

• 6X = 3X + 12

• 6X = 3X + 4

Why is distributing the 3 a reasonable first step?

• It adds a constant to both sides

• It makes the equation more complex

• It eliminates the variable

• It simplifies the equation

What is the next step after distributing the 3?

• Divide both sides by 3

• Subtract 3X from both sides

• Add 12 to both sides

• Multiply both sides by 3

What equation do you get after subtracting 3X from both sides?

• 6X = 12

• X = 4

• 3X = 12

• 3X = 4

What is the purpose of isolating all X's on one side?

• To eliminate the variable

• To simplify the equation

• To make the equation more complex

• To solve for the constant

What is the final step to solve for X?

• Add 3 to both sides

• Subtract 12 from both sides

• Divide both sides by 3

• Multiply both sides by 3

What is the value of X after solving the equation?

• X = 3

• X = 4

• X = 6

• X = 12