4(3p+5)+17=61

Solution for 4(3p+5)+17=61 equation:

Simplifying
4(3p + 5) + 17 = 61

Reorder the terms:
4(5 + 3p) + 17 = 61
(5 * 4 + 3p * 4) + 17 = 61
(20 + 12p) + 17 = 61

Reorder the terms:
20 + 17 + 12p = 61

Combine like terms: 20 + 17 = 37
37 + 12p = 61

Solving
37 + 12p = 61

Solving for variable 'p'.

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

Add '-37' to each side of the equation.
37 + -37 + 12p = 61 + -37

Combine like terms: 37 + -37 = 0
0 + 12p = 61 + -37
12p = 61 + -37

Combine like terms: 61 + -37 = 24
12p = 24

Divide each side by '12'.
p = 2

Simplifying
p = 2