Solving Equations with Variables

This video tutorial explains how to solve equations with variables on both sides. It covers three examples, demonstrating how to isolate variables and solve equations step-by-step. The tutorial emphasizes keeping variables positive and using the distributive property when necessary. It concludes with alternative methods for solving equations and highlights the importance of getting all variables on one side.

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

• Get all variables on one side

• Multiply both sides by the same number

• Divide both sides by the same number

• Add all constants to one side

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

• Divide both sides by the same number

• Multiply both sides by the same number

• Get all variables on one side

• Add all constants to one side

In the equation 5x + 8 = 7x, what operation is performed to start solving it?

• Subtract 7x from both sides

• Add 7x to both sides

• Subtract 5x from both sides

• Add 5x to both sides

After subtracting 5x from both sides in the equation 5x + 8 = 7x, what is the resulting equation?

• 8 = 2x

• 8 = 7x

• 8 = 5x

• 8 = 12x

What is the final value of x in the equation 5x + 8 = 7x?

• x = 2

• x = 4

• x = 8

• x = 6

In the equation 5x + 8 = 7x, what operation is performed to start solving it?

• Subtract 5x from both sides

• Add 5x to both sides

• Subtract 7x from both sides

• Add 7x to both sides

After subtracting 5x from both sides in the equation 5x + 8 = 7x, what is the resulting equation?

• 8 = 7x

• 8 = 12x

• 8 = 5x

• 8 = 2x

What is the final value of x in the equation 5x + 8 = 7x?

• x = 8

• x = 2

• x = 6

• x = 4

In the equation 4W + 8 = 6W - 4, why is it preferable to eliminate the smaller variable?

• To make the equation longer

• To increase the number of steps

• To avoid negative variables

• To make the equation more complex

What operation is performed to eliminate 4W in the equation 4W + 8 = 6W - 4?

• Add 6W to both sides

• Add 4W to both sides

• Subtract 4W from both sides

• Subtract 6W from both sides