6(p+1)=5p+2

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

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

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

Reorder the terms:
6 + 6p = 2 + 5p

Solving
6 + 6p = 2 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
6 + 6p + -5p = 2 + 5p + -5p

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

Combine like terms: 5p + -5p = 0
6 + 1p = 2 + 0
6 + 1p = 2

Add '-6' to each side of the equation.
6 + -6 + 1p = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1p = 2 + -6
1p = 2 + -6

Combine like terms: 2 + -6 = -4
1p = -4

Divide each side by '1'.
p = -4

Simplifying
p = -4