Question

2. Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.

14p-5=4p+15
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Answer 1

To solve the equation 14p - 5 = 4p + 15, we can start by isolating the variable p on one side of the equation.

First, let's get rid of the 4p on the right side by subtracting 4p from both sides of the equation:

14p - 4p - 5 = 4p - 4p + 15

Simplifying this gives us:

10p - 5 = 15

Next, let's isolate the 10p term by adding 5 to both sides of the equation:

10p - 5 + 5 = 15 + 5

Simplifying further gives us:

10p = 20

Finally, to solve for p, we divide both sides of the equation by 10:

(10p)/10 = 20/10

Which simplifies to:

p = 2

So the solution to the equation is p = 2.