3(2p-1)+3(5+2p)=6p+2p

Solution for 3(2p-1)+3(5+2p)=6p+2p equation:

Simplifying
3(2p + -1) + 3(5 + 2p) = 6p + 2p

Reorder the terms:
3(-1 + 2p) + 3(5 + 2p) = 6p + 2p
(-1 * 3 + 2p * 3) + 3(5 + 2p) = 6p + 2p
(-3 + 6p) + 3(5 + 2p) = 6p + 2p
-3 + 6p + (5 * 3 + 2p * 3) = 6p + 2p
-3 + 6p + (15 + 6p) = 6p + 2p

Reorder the terms:
-3 + 15 + 6p + 6p = 6p + 2p

Combine like terms: -3 + 15 = 12
12 + 6p + 6p = 6p + 2p

Combine like terms: 6p + 6p = 12p
12 + 12p = 6p + 2p

Combine like terms: 6p + 2p = 8p
12 + 12p = 8p

Solving
12 + 12p = 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
12 + 12p + -8p = 8p + -8p

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

Combine like terms: 8p + -8p = 0
12 + 4p = 0

Add '-12' to each side of the equation.
12 + -12 + 4p = 0 + -12

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

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

Divide each side by '4'.
p = -3

Simplifying
p = -3