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

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

Simplifying
2(3p + 2) + 3(2p + -3) = 0

Reorder the terms:
2(2 + 3p) + 3(2p + -3) = 0
(2 * 2 + 3p * 2) + 3(2p + -3) = 0
(4 + 6p) + 3(2p + -3) = 0

Reorder the terms:
4 + 6p + 3(-3 + 2p) = 0
4 + 6p + (-3 * 3 + 2p * 3) = 0
4 + 6p + (-9 + 6p) = 0

Reorder the terms:
4 + -9 + 6p + 6p = 0

Combine like terms: 4 + -9 = -5
-5 + 6p + 6p = 0

Combine like terms: 6p + 6p = 12p
-5 + 12p = 0

Solving
-5 + 12p = 0

Solving for variable 'p'.

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

Add '5' to each side of the equation.
-5 + 5 + 12p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 12p = 0 + 5
12p = 0 + 5

Combine like terms: 0 + 5 = 5
12p = 5

Divide each side by '12'.
p = 0.4166666667

Simplifying
p = 0.4166666667