Solving Two-Step Linear Equations with Variables on Both Sides

The video tutorial explains how to solve a two-step linear equation with variables on both sides. It emphasizes the importance of keeping the X term positive for easier calculations. The tutorial demonstrates two methods: one that keeps X positive and another that involves working with negative X, highlighting the challenges of the latter. The video concludes with a recommendation to use the first method and stresses the importance of checking the solution by plugging it back into the original equation.

What is the first step in solving a two-step linear equation with variables on both sides?

• Add the variables on both sides

• Subtract the variables on both sides

• Multiply both sides by a constant

• Divide both sides by a constant

Why is it easier to keep the X term positive when solving the equation?

• It eliminates the need for division

• It simplifies the arithmetic

• It avoids dealing with negative numbers

• It makes the equation shorter

What happens when you subtract 2x from both sides in the equation 2x - 4 = 10x?

• You get 2x - 4 = 8x

• You get -4 = 8x

• You get -4 = 2x

• You get 2x = 10x

What is the result of dividing both sides of the equation -4 = 8x by 8?

• x = 4

• x = -4

• x = -1/2

• x = 1/2

What is the simplified form of -4/8?

• 1/2

• -1/4

• 1/4

• -1/2

What is the first step in the more difficult method?

• Multiply both sides by 10

• Subtract 10x from both sides

• Divide both sides by 10

• Add 10x to both sides

What is the result of subtracting 10x from both sides in the equation 2x - 4 = 10x?

• -8x = 4

• 8x = 4

• -8x - 4 = 0

• 8x - 4 = 0

What is the next step after getting -8x - 4 = 0 in the more difficult method?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 4

• Divide both sides by 4

What is the result of dividing both sides of -8x = 4 by -8?

• x = -4

• x = 4

• x = -1/2

• x = 1/2

What should you always do after solving the equation?

• Add the answer to both sides of the equation

• Divide the answer by 2

• Multiply the answer by 2

• Check your answer by plugging it back into the original equation