Using distributive property and combining like terms to solve linear equations

The video tutorial demonstrates solving an algebraic equation using the distributive property. The instructor explains how to combine like terms and solve for the variable X, emphasizing the importance of keeping the variable positive. The final solution is X = 3, achieved by adding and dividing appropriately.

What is the main focus when applying the distributive property in an equation?

• Multiplying all terms by zero

• Ensuring terms are on the same side

• Using inverse operations for all terms

• Combining like terms on opposite sides

Why is it beneficial to make the variable positive when solving an equation?

• It is a mandatory rule

• It simplifies the equation

• It makes the equation longer

• It requires more steps

What should you do if you have two variable terms on the same side of an equation?

• Subtract the smaller one

• Ignore them

• Add them together

• Multiply them

What is the next step after isolating the variable on one side of the equation?

• Multiply by the variable

• Multiply by zero

• Divide by zero

• Add or subtract constants

What is the final step to find the solution for the variable in the equation?

• Add the variable to both sides

• Divide by the coefficient of the variable

• Subtract the variable from both sides

• Multiply by the coefficient of the variable