5p+6(p+7)=3(p+2)

Solution for 5p+6(p+7)=3(p+2) equation:

Simplifying
5p + 6(p + 7) = 3(p + 2)

Reorder the terms:
5p + 6(7 + p) = 3(p + 2)
5p + (7 * 6 + p * 6) = 3(p + 2)
5p + (42 + 6p) = 3(p + 2)

Reorder the terms:
42 + 5p + 6p = 3(p + 2)

Combine like terms: 5p + 6p = 11p
42 + 11p = 3(p + 2)

Reorder the terms:
42 + 11p = 3(2 + p)
42 + 11p = (2 * 3 + p * 3)
42 + 11p = (6 + 3p)

Solving
42 + 11p = 6 + 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.
42 + 11p + -3p = 6 + 3p + -3p

Combine like terms: 11p + -3p = 8p
42 + 8p = 6 + 3p + -3p

Combine like terms: 3p + -3p = 0
42 + 8p = 6 + 0
42 + 8p = 6

Add '-42' to each side of the equation.
42 + -42 + 8p = 6 + -42

Combine like terms: 42 + -42 = 0
0 + 8p = 6 + -42
8p = 6 + -42

Combine like terms: 6 + -42 = -36
8p = -36

Divide each side by '8'.
p = -4.5

Simplifying
p = -4.5