-5-(2p+1)=-8(p+6)

Solution for -5-(2p+1)=-8(p+6) equation:

Simplifying
-5 + -1(2p + 1) = -8(p + 6)

Reorder the terms:
-5 + -1(1 + 2p) = -8(p + 6)
-5 + (1 * -1 + 2p * -1) = -8(p + 6)
-5 + (-1 + -2p) = -8(p + 6)

Combine like terms: -5 + -1 = -6
-6 + -2p = -8(p + 6)

Reorder the terms:
-6 + -2p = -8(6 + p)
-6 + -2p = (6 * -8 + p * -8)
-6 + -2p = (-48 + -8p)

Solving
-6 + -2p = -48 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
-6 + -2p + 8p = -48 + -8p + 8p

Combine like terms: -2p + 8p = 6p
-6 + 6p = -48 + -8p + 8p

Combine like terms: -8p + 8p = 0
-6 + 6p = -48 + 0
-6 + 6p = -48

Add '6' to each side of the equation.
-6 + 6 + 6p = -48 + 6

Combine like terms: -6 + 6 = 0
0 + 6p = -48 + 6
6p = -48 + 6

Combine like terms: -48 + 6 = -42
6p = -42

Divide each side by '6'.
p = -7

Simplifying
p = -7