Solving Linear Equations

The video tutorial guides viewers through simplifying an equation to the form ax = B, where a and b are constants. Starting with the equation 4x - 3 = 2x + 8, the instructor demonstrates adding and subtracting terms to isolate the variable x on one side. The process involves adding 3 to both sides and then subtracting 2x, resulting in the simplified equation 2x = 11. The tutorial emphasizes understanding the steps to achieve the desired format and concludes with the final simplified equation.

What is the initial equation that needs to be simplified?

• 2x + 4 = x - 6

• 4x - 3 = 2x + 8

• 3x + 5 = x - 7

• 5x - 2 = 3x + 9

What is the result after adding 3 to both sides of the equation?

• 4x = 2x + 3

• 4x = 2x + 8

• 4x = 2x + 5

• 4x = 2x + 11

What operation is performed after obtaining 4x = 2x + 11?

• Divide both sides by 2

• Multiply both sides by 2

• Add 2x to both sides

• Subtract 2x from both sides

What is the simplified form of the equation?

• 2x = 11

• x = 11

• x = 5.5

• 2x = 8

In the simplified equation 2x = 11, what is the value of 'a'?

• 0

• 1

• 11

• 2