4(p+2)-12=5p+13

Solution for 4(p+2)-12=5p+13 equation:

Simplifying
4(p + 2) + -12 = 5p + 13

Reorder the terms:
4(2 + p) + -12 = 5p + 13
(2 * 4 + p * 4) + -12 = 5p + 13
(8 + 4p) + -12 = 5p + 13

Reorder the terms:
8 + -12 + 4p = 5p + 13

Combine like terms: 8 + -12 = -4
-4 + 4p = 5p + 13

Reorder the terms:
-4 + 4p = 13 + 5p

Solving
-4 + 4p = 13 + 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.
-4 + 4p + -5p = 13 + 5p + -5p

Combine like terms: 4p + -5p = -1p
-4 + -1p = 13 + 5p + -5p

Combine like terms: 5p + -5p = 0
-4 + -1p = 13 + 0
-4 + -1p = 13

Add '4' to each side of the equation.
-4 + 4 + -1p = 13 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = 13 + 4
-1p = 13 + 4

Combine like terms: 13 + 4 = 17
-1p = 17

Divide each side by '-1'.
p = -17

Simplifying
p = -17