Solving Multi-Step Equations with One Variable

The video tutorial explains how to solve a multi-step equation, 2x + 5 = 17. It begins by identifying the variable term and isolating it by subtracting 5 from both sides. This simplifies the equation to 2x = 12. The next step involves solving for x by dividing both sides by 2, resulting in x = 6. Finally, the solution is verified by substituting x back into the original equation to ensure it holds true.

What is the first step in solving the equation 2x + 5 = 17?

• Multiply both sides by 2

• Subtract 5 from both sides

• Divide both sides by 2

• Add 5 to both sides

After isolating the variable term, what is the resulting equation?

• x = 6

• 2x = 12

• 2x + 5 = 17

• x + 5 = 12

What operation is used to isolate x in the equation 2x = 12?

• Divide both sides by 2

• Add 2 to both sides

• Multiply both sides by 2

• Subtract 2 from both sides

What is the value of x after solving the equation 2x = 12?

• x = 5

• x = 6

• x = 7

• x = 8

How do you verify the solution x = 6 in the original equation?

• Substitute x = 6 into 2x + 5 and check if it equals 17

• Substitute x = 6 into 2x and check if it equals 6

• Substitute x = 6 into 2x and check if it equals 12

• Substitute x = 6 into x + 5 and check if it equals 11