Solving Linear Equations with Variables on Both Sides

The video tutorial explains how to solve the equation 20 - 7x = 6x - 6 by isolating the variable x. The process involves moving constant terms to one side and variable terms to the other, simplifying the equation, and solving for x. The solution is verified by substituting the value back into the original equation to ensure both sides are equal.

What is the first step in solving the equation 20 - 7x = 6x - 6?

• Subtract 6x from both sides

• Subtract 20 from both sides

• Add 7x to both sides

• Add 6 to both sides

After subtracting 20 from both sides, what is the resulting equation?

• 0 = 6x - 26

• 0 = -7x + 6x - 6

• 0 = -7x + 6x - 26

• 0 = -7x - 26

What do you get when you combine -7x and -6x?

• -1x

• -13x

• -7x

• -6x

What is the next step after obtaining -13x = -26?

• Subtract 13 from both sides

• Divide both sides by -13

• Add 26 to both sides

• Multiply both sides by -13

What is the value of x after dividing both sides by -13?

• x = 2

• x = -2

• x = -1

• x = 1

How can you verify that x = 2 is the correct solution?

• By checking the solution with a calculator

• By graphing the equation

• By solving a different equation

• By substituting x = 2 into the original equation

What is the left-hand side of the equation when x = 2 is substituted back?

• 20 - 6

• 20 - 2

• 20 - 7

• 20 - 14

What is the right-hand side of the equation when x = 2 is substituted back?

• 6 * 2 - 2

• 6 * 2 + 6

• 6 * 2 + 2

• 6 * 2 - 6

What does the left-hand side simplify to when x = 2?

• 14

• 12

• 6

• 20

What does the right-hand side simplify to when x = 2?

• 20

• 14

• 12

• 6