Question

How do you solve `6p + 15= 6p + 18+ 3p`?

Answer 1

`p = -1`

Explanation:

Given: `6p + 15 = 6p + 18 + 3p`

Add terms that are alike on both sides of the equation:

`6p + 15 = (6p + 3p) + 18`

`6p + 15 = 9p + 18`

Get the terms that are alike on the same side of the equation.

Subtract `15` from both sides:

`6p = 9p + 18 - 15`

`6p = 9p + 3`

Subtract `9p` from both sides:

`6p - 9p = 3`

`-3p = 3`

Divide by `-3` on both sides:

`(-3p)/-3 = 3/-3`

`p = -1`

CHECK the answer:

`6(-1) + 15 = 6(-1) + 18 + 3(-1)`

`-6 + 15 = -6 + 18 -3`

`9 = 9" "` TRUE

Answer 2

`p = -1`

Explanation:

Given: `6p + 15 = 6p + 18 + 3p`

Add terms that are alike on both sides of the equation:

`6p + 15 = (6p + 3p) + 18`

`6p + 15 = 9p + 18`

Get the terms that are alike on the same side of the equation.

Subtract `15` from both sides:

`6p = 9p + 18 - 15`

`6p = 9p + 3`

Subtract `9p` from both sides:

`6p - 9p = 3`

`-3p = 3`

Divide by `-3` on both sides:

`(-3p)/-3 = 3/-3`

`p = -1`

CHECK the answer:

`6(-1) + 15 = 6(-1) + 18 + 3(-1)`

`-6 + 15 = -6 + 18 -3`

`9 = 9" "` TRUE