2 - (4p+3) = - 3 (p+2) - (2p+3)

Ultimately, you want the variable p on one side of the equals sign, and the value of p on the other.

First, get rid of the parenthesis by distributing.

There is an invisible - 1 in front of the first and last set of parenthesis, and a one times any number is the number itself, so you are essentially distributing the negative sign.

So you have: 2-4p-3 = - 3p-6-2p-3

Next, Combine like terms.

Can you take it from there?

Simplifying

2 + - 1 (4p + 3) = - 3 (p + 2) + - 1 (2p + 3)

Reorder the terms:

2 + - 1 (3 + 4p) = - 3 (p + 2) + - 1 (2p + 3)

2 + (3 * - 1 + 4p * - 1) = - 3 (p + 2) + - 1 (2p + 3)

2 + (-3 + - 4p) = - 3 (p + 2) + - 1 (2p + 3)

Combine like terms: 2 + - 3 = - 1

-1 + - 4p = - 3 (p + 2) + - 1 (2p + 3)

Reorder the terms:

-1 + - 4p = - 3 (2 + p) + - 1 (2p + 3)

-1 + - 4p = (2 * - 3 + p * - 3) + - 1 (2p + 3)

-1 + - 4p = (-6 + - 3p) + - 1 (2p + 3)

Reorder the terms:

-1 + - 4p = - 6 + - 3p + - 1 (3 + 2p)

-1 + - 4p = - 6 + - 3p + (3 * - 1 + 2p * - 1)

-1 + - 4p = - 6 + - 3p + (-3 + - 2p)

Reorder the terms:

-1 + - 4p = - 6 + - 3 + - 3p + - 2p

Combine like terms: - 6 + - 3 = - 9

-1 + - 4p = - 9 + - 3p + - 2p

Combine like terms: - 3p + - 2p = - 5p

-1 + - 4p = - 9 + - 5p

Solving

-1 + - 4p = - 9 + - 5p

Move all terms containing p to the left, all other terms to the right.

Add '5p' to each side of the equation.

-1 + - 4p + 5p = - 9 + - 5p + 5p

Combine like terms: - 4p + 5p = 1p

-1 + 1p = - 9 + - 5p + 5p

Combine like terms: - 5p + 5p = 0

-1 + 1p = - 9 + 0

-1 + 1p = - 9

Add '1' to each side of the equation.

-1 + 1 + 1p = - 9 + 1

Combine like terms: - 1 + 1 = 0

0 + 1p = - 9 + 1

1p = - 9 + 1

Combine like terms: - 9 + 1 = - 8

1p = - 8

Divide each side by '1'.

p = - 8

Simplifying

p = - 8