Question

Solve for p Give an exact answer. 4+2p=10((3)/(5)p-2)

Answer 1

The solution to the equation 4 + 2p = 10(
`(3)/(5)` p - 2) is p = 6.

Given:

4 + 2p = 10(
`(3)/(5)` p - 2)

The solution to the equation can be found by the following steps:

• Distribute the 10 on the right side:

4 + 2p = (10) (
`(3)/(5)` )p - 10 (2)

• Simplify the equation to make the calculation easy:

4 + 2p = 6p - 20

• Move all terms involving p to one side and constants to the other side:

2p - 6p = -20 - 4

-4p = -24

p =
`(-24)/(-4)`

p = 6

So, the solution to the equation is p = 6.