6+p=5-3(5-p)

Solution for 6+p=5-3(5-p) equation:

Simplifying
6 + p = 5 + -3(5 + -1p)
6 + p = 5 + (5 * -3 + -1p * -3)
6 + p = 5 + (-15 + 3p)

Combine like terms: 5 + -15 = -10
6 + p = -10 + 3p

Solving
6 + p = -10 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
6 + p + -3p = -10 + 3p + -3p

Combine like terms: p + -3p = -2p
6 + -2p = -10 + 3p + -3p

Combine like terms: 3p + -3p = 0
6 + -2p = -10 + 0
6 + -2p = -10

Add '-6' to each side of the equation.
6 + -6 + -2p = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2p = -10 + -6
-2p = -10 + -6

Combine like terms: -10 + -6 = -16
-2p = -16

Divide each side by '-2'.
p = 8

Simplifying
p = 8