(3p-15)=6(2p+5)

Solution for (3p-15)=6(2p+5) equation:

Simplifying
(3p + -15) = 6(2p + 5)

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

Remove parenthesis around (-15 + 3p)
-15 + 3p = 6(2p + 5)

Reorder the terms:
-15 + 3p = 6(5 + 2p)
-15 + 3p = (5 * 6 + 2p * 6)
-15 + 3p = (30 + 12p)

Solving
-15 + 3p = 30 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-15 + 3p + -12p = 30 + 12p + -12p

Combine like terms: 3p + -12p = -9p
-15 + -9p = 30 + 12p + -12p

Combine like terms: 12p + -12p = 0
-15 + -9p = 30 + 0
-15 + -9p = 30

Add '15' to each side of the equation.
-15 + 15 + -9p = 30 + 15

Combine like terms: -15 + 15 = 0
0 + -9p = 30 + 15
-9p = 30 + 15

Combine like terms: 30 + 15 = 45
-9p = 45

Divide each side by '-9'.
p = -5

Simplifying
p = -5