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

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

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

Reorder the terms:
2(5 + p) + 3(p + -2) = 2(p + 6)
(5 * 2 + p * 2) + 3(p + -2) = 2(p + 6)
(10 + 2p) + 3(p + -2) = 2(p + 6)

Reorder the terms:
10 + 2p + 3(-2 + p) = 2(p + 6)
10 + 2p + (-2 * 3 + p * 3) = 2(p + 6)
10 + 2p + (-6 + 3p) = 2(p + 6)

Reorder the terms:
10 + -6 + 2p + 3p = 2(p + 6)

Combine like terms: 10 + -6 = 4
4 + 2p + 3p = 2(p + 6)

Combine like terms: 2p + 3p = 5p
4 + 5p = 2(p + 6)

Reorder the terms:
4 + 5p = 2(6 + p)
4 + 5p = (6 * 2 + p * 2)
4 + 5p = (12 + 2p)

Solving
4 + 5p = 12 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
4 + 5p + -2p = 12 + 2p + -2p

Combine like terms: 5p + -2p = 3p
4 + 3p = 12 + 2p + -2p

Combine like terms: 2p + -2p = 0
4 + 3p = 12 + 0
4 + 3p = 12

Add '-4' to each side of the equation.
4 + -4 + 3p = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 3p = 12 + -4
3p = 12 + -4

Combine like terms: 12 + -4 = 8
3p = 8

Divide each side by '3'.
p = 2.666666667

Simplifying
p = 2.666666667