Solving Linear Equations with Variables on Both Sides

The video tutorial demonstrates solving a complex equation for X. It begins with distributing terms across parentheses, followed by combining like terms on both sides of the equation. The process continues with isolating the X term by eliminating terms on one side and simplifying the equation. Finally, the solution for X is obtained by dividing the remaining term.

What is the first step in solving the given messy equation?

• Combining like terms

• Subtracting X terms from one side

• Distributing terms inside parentheses

• Isolating the X term

What is the result of distributing -3 through the parentheses containing -4X and 2?

• -12X and 6

• -12X and -6

• 12X and 6

• 12X and -6

After distributing, what is the next step in solving the equation?

• Isolating the X term

• Combining like terms

• Subtracting X terms from one side

• Adding constants

What is the combined result of 12X and -3X?

• 9X

• 12X

• 15X

• 6X

What do you get when you combine -4 and -8?

• 4

• -4

• -12

• 12

How do you eliminate the 2X term from the right side of the equation?

• Dividing by 2

• Multiplying by 2

• Subtracting 2X

• Adding 2X

What is the result of 9X - 2X?

• 9X

• 11X

• 7X

• 5X

What operation is needed to isolate the X term after combining like terms?

• Dividing by 6

• Multiplying by 6

• Subtracting 6

• Adding 6

What is the final value of X after solving the equation?

• 7/6

• -7/6

• 6/7

• -6/7