Solving Equations with Variables on Both Sides

The video tutorial explains how to solve an equation with x terms on both sides. It begins by moving one x term to the other side to balance the equation. Next, it eliminates constants by subtracting them from both sides. The tutorial then demonstrates solving for x by dividing both sides by the coefficient of x. Finally, it verifies the solution by substituting the value of x back into the original equation to ensure both sides are equal.

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

• Add the variables together.

• Move one variable term to the other side.

• Multiply both sides by 2.

• Divide both sides by the variable.

Why do we subtract 5x from both sides of the equation?

• To eliminate the variable completely.

• To add more variables.

• To balance the equation.

• To make the equation more complex.

After moving the x terms, what is the next step in simplifying the equation?

• Divide both sides by 3.

• Subtract 3 from both sides.

• Multiply both sides by 3.

• Add 3 to both sides.

What operation is used to isolate x after simplifying the equation to 7x = 28?

• Subtract 7 from both sides.

• Divide both sides by 7.

• Multiply both sides by 7.

• Add 7 to both sides.

What is the value of x after solving the equation 7x = 28?

• 3

• 5

• 2

• 4

How do you verify the solution of x = 4 in the original equation?

• By adding 4 to both sides of the equation.

• By multiplying both sides by 4.

• By substituting x = 4 into both sides of the equation.

• By dividing both sides by 4.

What is the result when you substitute x = 4 into the left side of the equation 12x + 3?

• 48

• 51

• 52

• 53

What is the result when you substitute x = 4 into the right side of the equation 5x + 31?

• 51

• 50

• 52

• 53

Why is it important to verify the solution by substituting back into the original equation?

• To ensure the solution is correct.

• To make the equation more complex.

• To change the solution.

• To eliminate the variable.

What does it mean if both sides of the equation equal the same number after substitution?

• The solution is correct.

• The equation is unsolvable.

• The solution is incorrect.

• The equation needs more variables.