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

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

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

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

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

Solving
-6 + 3p = 15 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-6 + 3p + -6p = 15 + 6p + -6p

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

Combine like terms: 6p + -6p = 0
-6 + -3p = 15 + 0
-6 + -3p = 15

Add '6' to each side of the equation.
-6 + 6 + -3p = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -3p = 15 + 6
-3p = 15 + 6

Combine like terms: 15 + 6 = 21
-3p = 21

Divide each side by '-3'.
p = -7

Simplifying
p = -7