Solving Linear Equations and Distributions

The video tutorial covers solving algebraic equations with variables on both sides. It begins with an introduction to the problem, followed by distributing terms and simplifying the equation. The instructor then combines like terms and solves for the variable x. The tutorial concludes with final steps to ensure the solution is correct.

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

• Subtract variables from both sides

• Combine like terms

• Distribute any coefficients

• Add numbers to both sides

Why is it necessary to distribute the coefficient in the equation 2 * (x - 6) = 3x?

• To simplify the equation

• To make the equation longer

• To add more variables

• To eliminate the parentheses

What is the purpose of distributing the coefficient in an equation?

• To make the equation longer

• To simplify the equation

• To add more variables

• To eliminate the parentheses

What is the result of distributing 2 in the expression 2 * (x - 6)?

• 2x - 12

• 2x + 6

• 2x - 6

• 2x + 12

What is the result of distributing 2 in the expression 2 * (x - 6)?

• 2x - 12

• 2x + 12

• 2x - 6

• 2x + 6

After distributing, what should be done next in the equation 2x - 12 = 3x?

• Subtract 2x from both sides

• Add 12 to both sides

• Subtract 3x from both sides

• Multiply both sides by 2

What is the purpose of combining like terms in an equation?

• To add more variables

• To eliminate coefficients

• To simplify the equation

• To make the equation longer

What is the result of subtracting 2x from both sides in the equation 2x - 12 = 3x?

• -x - 12 = 0

• x + 12 = 0

• x - 12 = 0

• -x + 12 = 0

What is the first step in solving the equation 2x - 12 = 3x?

• Multiply both sides by 2

• Add 12 to both sides

• Subtract 3x from both sides

• Subtract 2x from both sides

What is the result of subtracting 3x from both sides in the equation 2x - 12 = 3x?

• -x - 12 = 0

• x - 12 = 0

• -x + 12 = 0

• x + 12 = 0