Solving Linear Equations Steps

The video tutorial explains how to solve equations with variables on both sides. It emphasizes removing the lowest number of variables from both sides to simplify the equation. Three examples are provided: 4x + 3 = 2x + 17, 3x + 20 = 8x - 4, and 100 - 10x = 5x + 20. Each example is solved step-by-step, demonstrating techniques such as subtraction, addition, and division. The video also highlights the use of calculators for decimal solutions and clarifies that solutions can be whole or decimal numbers.

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

• Remove the highest number of variables from one side

• Add the variables on both sides

• Multiply both sides by the same number

• Remove the lowest number of variables from one side

In the equation 4x + 3 = 2x + 17, which term should be removed first?

• 3

• 17

• 2x

• 4x

After removing 2x from both sides of 4x + 3 = 2x + 17, what is the resulting equation?

• 2x + 3 = 17

• x = 7

• 4x = 17

• 2x = 20

What operation should be performed to isolate x in the equation 2x + 3 = 17?

• Add 3 to both sides

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 3 from both sides

What is the value of x in the equation 2x = 14?

• x = 2

• x = 14

• x = 28

• x = 7

In the equation 3x + 20 = 8x - 4, which term should be removed first?

• 3x

• 20

• 4

• 8x

After removing 3x from both sides of 3x + 20 = 8x - 4, what is the resulting equation?

• 20 = 5x - 4

• 3x = 4

• x = 4.8

• 5x = 24

What operation should be performed to isolate x in the equation 20 = 5x - 4?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the value of x in the equation 24 = 5x?

• x = 4.8

• x = 4

• x = 24

• x = 5

In the equation 100 - 10x = 5x + 20, which term should be removed first?

• -10x

• 20

• 100

• 5x