How to Solve a Two Step Equation

The video tutorial guides students through solving a multi-step equation, 4x + 5 = 1 + 5x. The instructor explains how to isolate the variable x by moving terms across the equation and performing operations on both sides. The solution is verified by substituting the value back into the original equation, ensuring the correctness of the answer. The lesson concludes with encouragement and a recap of the steps taken.

What is the first step in solving the equation 4x + 5 = 1 + 5x?

• Add 5 to both sides

• Subtract 4x from both sides

• Divide both sides by x

• Multiply both sides by 2

After subtracting 4x from both sides, what is the resulting equation?

• x = 1 - 5

• x = 1 + 5

• 5x = 1 + 4x

• x + 5 = 1

What operation is performed to isolate x after obtaining x + 5 = 1?

• Divide both sides by 5

• Subtract 1 from both sides

• Multiply both sides by 5

• Add 1 to both sides

What is the value of x after solving the equation?

• x = 2

• x = 5

• x = 4

• x = 3

How can you verify the solution x = 4 is correct?

• By checking if both sides of the equation equal 21 when x = 4

• By checking if both sides of the equation equal 18 when x = 4

• By checking if both sides of the equation equal 20 when x = 4

• By checking if both sides of the equation equal 19 when x = 4