Solving Equations and Isolating Variables

The video tutorial explains how to solve the equation 32/2x = 8 by isolating the variable x. It demonstrates the use of inverse operations to maintain balance in the equation, simplifying it step by step. The process involves multiplying both sides by 2x, canceling terms, and finally dividing to find that x equals 2.

What is the initial equation that needs to be solved?

• 32 over 2x = 8

• 8 over x = 2

• 16 over x = 4

• 64 over x = 16

What operation is performed to both sides of the equation to start isolating x?

• Add 8 to both sides

• Multiply both sides by 2x

• Subtract 32 from both sides

• Divide both sides by 2

Why is it important to perform the same operation on both sides of an equation?

• To keep the equation balanced

• To make the equation more complex

• To change the equation's solution

• To eliminate variables

After multiplying both sides by 2x, what does the equation become?

• 8x = 64

• x = 16

• 32x = 16

• 16x = 32

What is the final step to solve for x in the equation 16x = 32?

• Subtract 32 from both sides

• Add 16 to both sides

• Multiply both sides by 2

• Divide both sides by 16

What is the value of x that satisfies the equation 32 over 2x = 8?

• x = 2

• x = 8

• x = 1

• x = 4