3p-2(p-3)=15

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

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

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

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

Combine like terms: 3p + -2p = 1p
6 + 1p = 15

Solving
6 + 1p = 15

Solving for variable 'p'.

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

Add '-6' to each side of the equation.
6 + -6 + 1p = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 1p = 15 + -6
1p = 15 + -6

Combine like terms: 15 + -6 = 9
1p = 9

Divide each side by '1'.
p = 9

Simplifying
p = 9