Solving Multi-Step Equations | Distributive Property, Combining Like Terms, Variables on Both Sides

What is the correct order of steps to solve a multi-step equation that involves distribution, combining like terms, and variables on both sides?

• Combine like terms, distribute, move variables, solve.

• Distribute, combine like terms, move variables, solve.

• Move variables, distribute, combine like terms, solve.

• Solve, distribute, combine like terms, move variables.

After applying the distributive property to the expression 5(3x - 4), what is the result?

• 15x + 20

• 15x - 20

• 8x - 9

• 5x - 20

If an equation is x + 15x - 20 = 12x + 4, what does the left side become after combining like terms?

• 16x + 20

• 16x - 20

• 15x - 20

• 14x - 20

To move the variable terms to one side in the equation 16x - 20 = 12x + 4, and to avoid negative coefficients for the variable, what operation should be performed first?

• Add 12x to both sides.

• Subtract 16x from both sides.

• Subtract 12x from both sides.

• Add 20 to both sides.

After simplifying the equation to 16x - 20 = 12x + 4, what is the next step to gather the variable terms on one side?

• Add 12x to both sides

• Subtract 12x from both sides

• Add 20 to both sides

• Divide by 4

Given the equation 4x - 20 = 4, what operation should be performed first to isolate the variable term (4x)?

• Subtract 4 from both sides

• Divide by 4

• Add 20 to both sides

• Multiply by 20

If you have the equation 4x = 24, what is the inverse operation needed to solve for x?

• Addition

• Subtraction

• Multiplication

• Division

What is the solution for x in the equation x + 5(3x - 4) = 12x + 4?

• x = 4

• x = 5

• x = 6

• x = 7