Solving and equation with the variable on the same side ex 3, 17=p–3–3p

The video tutorial explains how to solve an algebraic equation by identifying unknowns, combining like terms, and using inverse operations. The instructor demonstrates the process step-by-step, leading to the solution P = -10, which satisfies the equation. The tutorial emphasizes the importance of understanding variable manipulation and the properties of equality.

What is the initial equation that needs to be solved?

• 17 = P - 3 - 3P

• P = 17 - 3P

• 3P - 17 = P

• P + 3 = 17

What is the first step in simplifying the equation?

• Subtract P from both sides

• Add 3 to both sides

• Combine like terms

• Multiply both sides by 2

How do you combine the terms P and -3P?

• Divide them to get P/3

• Multiply them to get -3P^2

• Subtract them to get -2P

• Add them to get 4P

What operation is used to isolate P in the equation -2P - 3 = 17?

• Subtract 3 from both sides

• Multiply by -2

• Divide by -2

• Add 3 to both sides

What is the final value of P that solves the equation?

• P = 10

• P = -10

• P = 0

• P = 5