Solving Equations with Variables on Both Sides

The video tutorial explains how to solve equations with variables on both sides. It provides four examples, demonstrating the process of choosing sides for variable and constant terms, and solving for x. The tutorial emphasizes selecting the side with the greater coefficient to avoid negative coefficients. Each example is solved step-by-step, highlighting the importance of maintaining balance by performing operations on both sides of the equation. The video concludes with a call to action for viewers to like and subscribe.

What is the first step in solving equations with variables on both sides?

• Subtract variables from both sides

• Divide both sides by the coefficient of the variable

• Add constants to both sides

• Collect variable terms on one side

What is the first action to take when solving equations with variables on both sides?

• Multiply both sides by the leading coefficient

• Choose the side for variable terms based on coefficient size

• Combine like terms

• Isolate the variable on one side

How do we avoid getting negative coefficients in our equations?

• By always choosing the left side for variables

• By subtracting the smaller coefficient from the larger one

• By multiplying both sides by -1

• By choosing the side with the greater coefficient for variables

Tags

CCSS.8.EE.C.7B

In the equation 8x = 5x + 21, what is the value of x?

• 3

• 7

• 13

• 21

When solving 6x + 11 = 10x - 13, what operation do you perform first?

• Add 13 to both sides

• Divide both sides by 4

• Subtract 6x from both sides

• Add 11 to both sides

What is the solution to 6x + 11 = 10x - 13?

• x = -24

• x = 6

• x = -6

• x = 24

In the equation 17 - 4x = -9x - 13, which side do we choose for variable terms?

• Left side

• Right side

• Both sides

• Neither side

What is the final value of x in the equation 17 - 4x = -9x - 13?

• x = 30

• x = -6

• x = 6

• x = -30

In the equation -16 - 4x = 2x + 8, why do we choose the right side for variable terms?

• Because it has a negative coefficient

• Because it has a larger coefficient

• Because it has a positive coefficient

• Because it has a smaller coefficient

What is the solution to the equation -16 - 4x = 2x + 8?

• x = 4

• x = -4

• x = 8

• x = -8