Solving Equations with Variables on Both Sides

This video tutorial explains how to solve equations with variables on both sides. It covers the process of using addition and subtraction to isolate variables on one side of the equation and constants on the other. The tutorial includes examples and practice questions to reinforce the concepts. Key steps include drawing a T-chart, balancing equations, and simplifying to find the solution.

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

• Add the same number to both sides

• Divide both sides by the same number

• Multiply both sides by the same number

• Get all variables on one side of the equation

In the example 2x + 3 = 3x, what should you subtract from both sides to start solving the equation?

• 3

• 2x

• 3x

• 2

Why can't you subtract 3x from both sides in the equation 2x + 3 = 3x?

• It will make the equation too complex

• It will result in a negative variable

• It will make the equation unbalanced

• It will cancel out all terms on one side

In the equation 5x + 4 = 3x - 2, what is the result after subtracting 3x from both sides?

• 2x + 4 = -2

• 2x = -6

• 5x = 3x - 2

• x = -3

What is the next step after getting 2x + 4 = -2 in the equation 5x + 4 = 3x - 2?

• Multiply both sides by 2

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 2

What is the value of x in the equation 2x = -6?

• -3

• 3

• -6

• 6

In the double T-chart example, what is the first variable you should move?

• 1x

• 2x

• 3x

• 4x

What is the result after subtracting 3x from both sides in the double T-chart example?

• x = -8

• x = 3

• 1x - 1 = 2

• 4x - 3x = 1x

In the final example, what is the result after subtracting 6k from both sides in the equation 4k + 24 = 6k - 10?

• k = 17

• -2k = -34

• 2k + 24 = -10

• -2k + 24 = -10

What is the value of k in the equation -2k = -34?

• 34

• -17

• 17

• -34