11-5(p+1)=6-3(3p-4)

Solution for 11-5(p+1)=6-3(3p-4) equation:

Simplifying
11 + -5(p + 1) = 6 + -3(3p + -4)

Reorder the terms:
11 + -5(1 + p) = 6 + -3(3p + -4)
11 + (1 * -5 + p * -5) = 6 + -3(3p + -4)
11 + (-5 + -5p) = 6 + -3(3p + -4)

Combine like terms: 11 + -5 = 6
6 + -5p = 6 + -3(3p + -4)

Reorder the terms:
6 + -5p = 6 + -3(-4 + 3p)
6 + -5p = 6 + (-4 * -3 + 3p * -3)
6 + -5p = 6 + (12 + -9p)

Combine like terms: 6 + 12 = 18
6 + -5p = 18 + -9p

Solving
6 + -5p = 18 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
6 + -5p + 9p = 18 + -9p + 9p

Combine like terms: -5p + 9p = 4p
6 + 4p = 18 + -9p + 9p

Combine like terms: -9p + 9p = 0
6 + 4p = 18 + 0
6 + 4p = 18

Add '-6' to each side of the equation.
6 + -6 + 4p = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 4p = 18 + -6
4p = 18 + -6

Combine like terms: 18 + -6 = 12
4p = 12

Divide each side by '4'.
p = 3

Simplifying
p = 3