Solving Equations with Distributive Property

The video tutorial demonstrates solving an algebraic equation using the distributive property. It begins by distributing 1/2 to terms within the equation, then combines like terms. The tutorial proceeds to isolate the variable 3X by applying inverse operations and the division property of equality. The solution, X = 4/3, is verified by substituting back into the original equation, confirming its correctness.

What is the result of distributing 1/2 to the terms 6X and -2?

• 1/2X and -1

• 6X and -2

• 3X and 2

• 3X and -1

What is the next step after combining like terms in the equation?

• Divide both sides by 2

• Add 8 to both sides

• Subtract 8 from both sides

• Multiply both sides by 3

How do you solve for X after isolating 3X?

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

• Divide both sides by 3

What is the solution for X in the equation after solving?

• X = 1

• X = 2

• X = 4/3

• X = 3/4

How can you verify the solution X = 4/3?

• By subtracting 4/3 from both sides

• By substituting X = 4/3 back into the original equation

• By adding 4/3 to both sides

• By multiplying both sides by 4/3