Solving Linear Equations with Variables

The video tutorial explains how to solve the equation 0.6x - 3 = 15 by isolating the variable x. The process involves moving the constant to the other side of the equation and then dividing both sides by 0.6 to find the value of x. The final calculation shows that x equals 30.

What is the first step in solving the equation 0.6x - 3 = 15?

• Add 3 to both sides

• Multiply both sides by 0.6

• Subtract 0.6 from both sides

• Divide both sides by 3

After moving the constant term, what does the equation become?

• 0.6x = 18

• 0.6x = 12

• x = 18

• x = 12

Why can we add 3 to both sides of the equation 0.6x - 3 = 15?

• To balance the equation and simplify it

• To eliminate the variable x

• To make the equation more complex

• To change the equation to a different form

What operation is performed to isolate x after simplifying the equation to 0.6x = 18?

• Add 0.6 to both sides

• Subtract 18 from both sides

• Multiply both sides by 18

• Divide both sides by 0.6

What is the final value of x in the equation 0.6x - 3 = 15?

• 18

• 15

• 30

• 25