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

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

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

Reorder the terms:
3(-5 + 2p) = 2(3 + -2p)
(-5 * 3 + 2p * 3) = 2(3 + -2p)
(-15 + 6p) = 2(3 + -2p)
-15 + 6p = (3 * 2 + -2p * 2)
-15 + 6p = (6 + -4p)

Solving
-15 + 6p = 6 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
-15 + 6p + 4p = 6 + -4p + 4p

Combine like terms: 6p + 4p = 10p
-15 + 10p = 6 + -4p + 4p

Combine like terms: -4p + 4p = 0
-15 + 10p = 6 + 0
-15 + 10p = 6

Add '15' to each side of the equation.
-15 + 15 + 10p = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 10p = 6 + 15
10p = 6 + 15

Combine like terms: 6 + 15 = 21
10p = 21

Divide each side by '10'.
p = 2.1

Simplifying
p = 2.1